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Finding the Fourth Proportional to 47,874.78, 71,812.14 and 12,813.52

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Solution

The fourth proportional to 47,874.78, 71,812.14 and 12,813.52 is: 19,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.78 : 71,812.14 = 12,813.52 : x
  2. Step 2: Convert to fraction form
    47,874.78/71,812.14 = 12,813.52/x
  3. Step 3: Cross multiply
    47,874.78x = 71,812.14 × 12,813.52
  4. Step 4: Simplify right side
    47,874.78x = 920,166,292.13
  5. Step 5: Solve for x
    x = 920,166,292.13/47,874.78
  6. Step 6: Final answer
    x = 19,220.27

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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.