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Finding the Fourth Proportional to 47,874.13, 71,811.19 and 12,812.87

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Solution

The fourth proportional to 47,874.13, 71,811.19 and 12,812.87 is: 19,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.13 : 71,811.19 = 12,812.87 : x
  2. Step 2: Convert to fraction form
    47,874.13/71,811.19 = 12,812.87/x
  3. Step 3: Cross multiply
    47,874.13x = 71,811.19 × 12,812.87
  4. Step 4: Simplify right side
    47,874.13x = 920,107,442.02
  5. Step 5: Solve for x
    x = 920,107,442.02/47,874.13
  6. Step 6: Final answer
    x = 19,219.31

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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.