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Finding the Fourth Proportional to 10,474.52, 15,714.20 and 3,454.45

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Solution

The fourth proportional to 10,474.52, 15,714.20 and 3,454.45 is: 5,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.52 : 15,714.20 = 3,454.45 : x
  2. Step 2: Convert to fraction form
    10,474.52/15,714.20 = 3,454.45/x
  3. Step 3: Cross multiply
    10,474.52x = 15,714.20 × 3,454.45
  4. Step 4: Simplify right side
    10,474.52x = 54,283,887.54
  5. Step 5: Solve for x
    x = 54,283,887.54/10,474.52
  6. Step 6: Final answer
    x = 5,182.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.