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Finding the Fourth Proportional to 51,784.91, 71,456.90 and 28,809.30

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Solution

The fourth proportional to 51,784.91, 71,456.90 and 28,809.30 is: 39,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784.91 : 71,456.90 = 28,809.30 : x
  2. Step 2: Convert to fraction form
    51,784.91/71,456.90 = 28,809.30/x
  3. Step 3: Cross multiply
    51,784.91x = 71,456.90 × 28,809.30
  4. Step 4: Simplify right side
    51,784.91x = 2,058,623,269.17
  5. Step 5: Solve for x
    x = 2,058,623,269.17/51,784.91
  6. Step 6: Final answer
    x = 39,753.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.