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Finding the Fourth Proportional to 28,472.46, 42,704.30 and 9,748.20

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Solution

The fourth proportional to 28,472.46, 42,704.30 and 9,748.20 is: 14,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,472.46 : 42,704.30 = 9,748.20 : x
  2. Step 2: Convert to fraction form
    28,472.46/42,704.30 = 9,748.20/x
  3. Step 3: Cross multiply
    28,472.46x = 42,704.30 × 9,748.20
  4. Step 4: Simplify right side
    28,472.46x = 416,290,057.26
  5. Step 5: Solve for x
    x = 416,290,057.26/28,472.46
  6. Step 6: Final answer
    x = 14,620.80

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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.