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Finding the Fourth Proportional to 7,614.40, 10,508.40 and 5,489.12

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Solution

The fourth proportional to 7,614.40, 10,508.40 and 5,489.12 is: 7,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.40 : 10,508.40 = 5,489.12 : x
  2. Step 2: Convert to fraction form
    7,614.40/10,508.40 = 5,489.12/x
  3. Step 3: Cross multiply
    7,614.40x = 10,508.40 × 5,489.12
  4. Step 4: Simplify right side
    7,614.40x = 57,681,868.61
  5. Step 5: Solve for x
    x = 57,681,868.61/7,614.40
  6. Step 6: Final answer
    x = 7,575.37

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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.