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Finding the Fourth Proportional to 52,644.21, 72,654 and 28,774.47

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Solution

The fourth proportional to 52,644.21, 72,654 and 28,774.47 is: 39,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644.21 : 72,654 = 28,774.47 : x
  2. Step 2: Convert to fraction form
    52,644.21/72,654 = 28,774.47/x
  3. Step 3: Cross multiply
    52,644.21x = 72,654 × 28,774.47
  4. Step 4: Simplify right side
    52,644.21x = 2,090,580,343.38
  5. Step 5: Solve for x
    x = 2,090,580,343.38/52,644.21
  6. Step 6: Final answer
    x = 39,711.50

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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.