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Finding the Fourth Proportional to 1,678.74, 2,517.92 and 1,134.42

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Solution

The fourth proportional to 1,678.74, 2,517.92 and 1,134.42 is: 1,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.74 : 2,517.92 = 1,134.42 : x
  2. Step 2: Convert to fraction form
    1,678.74/2,517.92 = 1,134.42/x
  3. Step 3: Cross multiply
    1,678.74x = 2,517.92 × 1,134.42
  4. Step 4: Simplify right side
    1,678.74x = 2,856,378.81
  5. Step 5: Solve for x
    x = 2,856,378.81/1,678.74
  6. Step 6: Final answer
    x = 1,701.50

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1.5x scale

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.