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Finding the Fourth Proportional to 5,377.52, 8,063.36 and 1,678.74

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Solution

The fourth proportional to 5,377.52, 8,063.36 and 1,678.74 is: 2,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.52 : 8,063.36 = 1,678.74 : x
  2. Step 2: Convert to fraction form
    5,377.52/8,063.36 = 1,678.74/x
  3. Step 3: Cross multiply
    5,377.52x = 8,063.36 × 1,678.74
  4. Step 4: Simplify right side
    5,377.52x = 13,536,284.97
  5. Step 5: Solve for x
    x = 13,536,284.97/5,377.52
  6. Step 6: Final answer
    x = 2,517.20

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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.