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Finding the Fourth Proportional to 20,753.50, 31,130.52 and 6,902.50

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Solution

The fourth proportional to 20,753.50, 31,130.52 and 6,902.50 is: 10,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,753.50 : 31,130.52 = 6,902.50 : x
  2. Step 2: Convert to fraction form
    20,753.50/31,130.52 = 6,902.50/x
  3. Step 3: Cross multiply
    20,753.50x = 31,130.52 × 6,902.50
  4. Step 4: Simplify right side
    20,753.50x = 214,878,414.30
  5. Step 5: Solve for x
    x = 214,878,414.30/20,753.50
  6. Step 6: Final answer
    x = 10,353.84

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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.