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Finding the Fourth Proportional to 47,693.25, 65,822.76 and 28,830.38

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Solution

The fourth proportional to 47,693.25, 65,822.76 and 28,830.38 is: 39,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.25 : 65,822.76 = 28,830.38 : x
  2. Step 2: Convert to fraction form
    47,693.25/65,822.76 = 28,830.38/x
  3. Step 3: Cross multiply
    47,693.25x = 65,822.76 × 28,830.38
  4. Step 4: Simplify right side
    47,693.25x = 1,897,694,854.34
  5. Step 5: Solve for x
    x = 1,897,694,854.34/47,693.25
  6. Step 6: Final answer
    x = 39,789.59

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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.