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Finding the Fourth Proportional to 6,938.61, 10,432.89 and 6,397.41

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Solution

The fourth proportional to 6,938.61, 10,432.89 and 6,397.41 is: 9,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.61 : 10,432.89 = 6,397.41 : x
  2. Step 2: Convert to fraction form
    6,938.61/10,432.89 = 6,397.41/x
  3. Step 3: Cross multiply
    6,938.61x = 10,432.89 × 6,397.41
  4. Step 4: Simplify right side
    6,938.61x = 66,743,474.81
  5. Step 5: Solve for x
    x = 66,743,474.81/6,938.61
  6. Step 6: Final answer
    x = 9,619.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.