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Finding the Fourth Proportional to 10,374.12, 15,562.80 and 3,447

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Solution

The fourth proportional to 10,374.12, 15,562.80 and 3,447 is: 5,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.12 : 15,562.80 = 3,447 : x
  2. Step 2: Convert to fraction form
    10,374.12/15,562.80 = 3,447/x
  3. Step 3: Cross multiply
    10,374.12x = 15,562.80 × 3,447
  4. Step 4: Simplify right side
    10,374.12x = 53,644,971.60
  5. Step 5: Solve for x
    x = 53,644,971.60/10,374.12
  6. Step 6: Final answer
    x = 5,171.04

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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.