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Finding the Fourth Proportional to 2,378.38, 3,566.57 and 712.74

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Solution

The fourth proportional to 2,378.38, 3,566.57 and 712.74 is: 1,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.38 : 3,566.57 = 712.74 : x
  2. Step 2: Convert to fraction form
    2,378.38/3,566.57 = 712.74/x
  3. Step 3: Cross multiply
    2,378.38x = 3,566.57 × 712.74
  4. Step 4: Simplify right side
    2,378.38x = 2,542,036.66
  5. Step 5: Solve for x
    x = 2,542,036.66/2,378.38
  6. Step 6: Final answer
    x = 1,068.81

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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.