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Finding the Fourth Proportional to 10,272, 15,405.42 and 2,874.54

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Solution

The fourth proportional to 10,272, 15,405.42 and 2,874.54 is: 4,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272 : 15,405.42 = 2,874.54 : x
  2. Step 2: Convert to fraction form
    10,272/15,405.42 = 2,874.54/x
  3. Step 3: Cross multiply
    10,272x = 15,405.42 × 2,874.54
  4. Step 4: Simplify right side
    10,272x = 44,283,496.01
  5. Step 5: Solve for x
    x = 44,283,496.01/10,272
  6. Step 6: Final answer
    x = 4,311.09

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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.