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Finding the Fourth Proportional to 9,646.77, 13,306.64 and 8,524.11

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Solution

The fourth proportional to 9,646.77, 13,306.64 and 8,524.11 is: 11,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.77 : 13,306.64 = 8,524.11 : x
  2. Step 2: Convert to fraction form
    9,646.77/13,306.64 = 8,524.11/x
  3. Step 3: Cross multiply
    9,646.77x = 13,306.64 × 8,524.11
  4. Step 4: Simplify right side
    9,646.77x = 113,427,220.47
  5. Step 5: Solve for x
    x = 113,427,220.47/9,646.77
  6. Step 6: Final answer
    x = 11,758.05

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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.