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Finding the Fourth Proportional to 9,666.98, 13,310.76 and 8,465.10

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Solution

The fourth proportional to 9,666.98, 13,310.76 and 8,465.10 is: 11,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.98 : 13,310.76 = 8,465.10 : x
  2. Step 2: Convert to fraction form
    9,666.98/13,310.76 = 8,465.10/x
  3. Step 3: Cross multiply
    9,666.98x = 13,310.76 × 8,465.10
  4. Step 4: Simplify right side
    9,666.98x = 112,676,914.48
  5. Step 5: Solve for x
    x = 112,676,914.48/9,666.98
  6. Step 6: Final answer
    x = 11,655.85

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.