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Finding the Fourth Proportional to 10,370, 15,555 and 6,472.40

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Solution

The fourth proportional to 10,370, 15,555 and 6,472.40 is: 9,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370 : 15,555 = 6,472.40 : x
  2. Step 2: Convert to fraction form
    10,370/15,555 = 6,472.40/x
  3. Step 3: Cross multiply
    10,370x = 15,555 × 6,472.40
  4. Step 4: Simplify right side
    10,370x = 100,678,182
  5. Step 5: Solve for x
    x = 100,678,182/10,370
  6. Step 6: Final answer
    x = 9,708.60

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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.