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Finding the Fourth Proportional to 2,474.12, 3,710.78 and 914.86

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Solution

The fourth proportional to 2,474.12, 3,710.78 and 914.86 is: 1,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.12 : 3,710.78 = 914.86 : x
  2. Step 2: Convert to fraction form
    2,474.12/3,710.78 = 914.86/x
  3. Step 3: Cross multiply
    2,474.12x = 3,710.78 × 914.86
  4. Step 4: Simplify right side
    2,474.12x = 3,394,830.34
  5. Step 5: Solve for x
    x = 3,394,830.34/2,474.12
  6. Step 6: Final answer
    x = 1,372.14

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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.