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Finding the Fourth Proportional to 3,107.76, 4,658.52 and 1,374.96

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Solution

The fourth proportional to 3,107.76, 4,658.52 and 1,374.96 is: 2,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.76 : 4,658.52 = 1,374.96 : x
  2. Step 2: Convert to fraction form
    3,107.76/4,658.52 = 1,374.96/x
  3. Step 3: Cross multiply
    3,107.76x = 4,658.52 × 1,374.96
  4. Step 4: Simplify right side
    3,107.76x = 6,405,278.66
  5. Step 5: Solve for x
    x = 6,405,278.66/3,107.76
  6. Step 6: Final answer
    x = 2,061.06

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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.