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Finding the Fourth Proportional to 47,684, 71,508.72 and 21,375.20

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Solution

The fourth proportional to 47,684, 71,508.72 and 21,375.20 is: 32,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684 : 71,508.72 = 21,375.20 : x
  2. Step 2: Convert to fraction form
    47,684/71,508.72 = 21,375.20/x
  3. Step 3: Cross multiply
    47,684x = 71,508.72 × 21,375.20
  4. Step 4: Simplify right side
    47,684x = 1,528,513,191.74
  5. Step 5: Solve for x
    x = 1,528,513,191.74/47,684
  6. Step 6: Final answer
    x = 32,055.05

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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.