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Finding the Fourth Proportional to 28,102.62, 42,152.96 and 7,042.85

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Solution

The fourth proportional to 28,102.62, 42,152.96 and 7,042.85 is: 10,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.62 : 42,152.96 = 7,042.85 : x
  2. Step 2: Convert to fraction form
    28,102.62/42,152.96 = 7,042.85/x
  3. Step 3: Cross multiply
    28,102.62x = 42,152.96 × 7,042.85
  4. Step 4: Simplify right side
    28,102.62x = 296,876,728.36
  5. Step 5: Solve for x
    x = 296,876,728.36/28,102.62
  6. Step 6: Final answer
    x = 10,564.02

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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.