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Finding the Fourth Proportional to 28,533, 39,375.68 and 15,957.75

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Solution

The fourth proportional to 28,533, 39,375.68 and 15,957.75 is: 22,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,533 : 39,375.68 = 15,957.75 : x
  2. Step 2: Convert to fraction form
    28,533/39,375.68 = 15,957.75/x
  3. Step 3: Cross multiply
    28,533x = 39,375.68 × 15,957.75
  4. Step 4: Simplify right side
    28,533x = 628,347,177.73
  5. Step 5: Solve for x
    x = 628,347,177.73/28,533
  6. Step 6: Final answer
    x = 22,021.77

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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.