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Finding the Fourth Proportional to 9,666.84, 13,346.06 and 6,646.84

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Solution

The fourth proportional to 9,666.84, 13,346.06 and 6,646.84 is: 9,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.84 : 13,346.06 = 6,646.84 : x
  2. Step 2: Convert to fraction form
    9,666.84/13,346.06 = 6,646.84/x
  3. Step 3: Cross multiply
    9,666.84x = 13,346.06 × 6,646.84
  4. Step 4: Simplify right side
    9,666.84x = 88,709,125.45
  5. Step 5: Solve for x
    x = 88,709,125.45/9,666.84
  6. Step 6: Final answer
    x = 9,176.64

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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.