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Finding the Fourth Proportional to 10,489.38, 14,475.38 and 6,013.40

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Solution

The fourth proportional to 10,489.38, 14,475.38 and 6,013.40 is: 8,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.38 : 14,475.38 = 6,013.40 : x
  2. Step 2: Convert to fraction form
    10,489.38/14,475.38 = 6,013.40/x
  3. Step 3: Cross multiply
    10,489.38x = 14,475.38 × 6,013.40
  4. Step 4: Simplify right side
    10,489.38x = 87,046,250.09
  5. Step 5: Solve for x
    x = 87,046,250.09/10,489.38
  6. Step 6: Final answer
    x = 8,298.51

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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.