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Finding the Fourth Proportional to 47,842, 71,780.28 and 15,010

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Solution

The fourth proportional to 47,842, 71,780.28 and 15,010 is: 22,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,842 : 71,780.28 = 15,010 : x
  2. Step 2: Convert to fraction form
    47,842/71,780.28 = 15,010/x
  3. Step 3: Cross multiply
    47,842x = 71,780.28 × 15,010
  4. Step 4: Simplify right side
    47,842x = 1,077,422,002.80
  5. Step 5: Solve for x
    x = 1,077,422,002.80/47,842
  6. Step 6: Final answer
    x = 22,520.42

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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.