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Finding the Fourth Proportional to 28,375.52, 42,582.70 and 9,907.52

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Solution

The fourth proportional to 28,375.52, 42,582.70 and 9,907.52 is: 14,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,375.52 : 42,582.70 = 9,907.52 : x
  2. Step 2: Convert to fraction form
    28,375.52/42,582.70 = 9,907.52/x
  3. Step 3: Cross multiply
    28,375.52x = 42,582.70 × 9,907.52
  4. Step 4: Simplify right side
    28,375.52x = 421,888,951.90
  5. Step 5: Solve for x
    x = 421,888,951.90/28,375.52
  6. Step 6: Final answer
    x = 14,868.06

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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.