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Finding the Fourth Proportional to 12,531.71, 18,797.87 and 3,647.97

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Solution

The fourth proportional to 12,531.71, 18,797.87 and 3,647.97 is: 5,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.71 : 18,797.87 = 3,647.97 : x
  2. Step 2: Convert to fraction form
    12,531.71/18,797.87 = 3,647.97/x
  3. Step 3: Cross multiply
    12,531.71x = 18,797.87 × 3,647.97
  4. Step 4: Simplify right side
    12,531.71x = 68,574,074.94
  5. Step 5: Solve for x
    x = 68,574,074.94/12,531.71
  6. Step 6: Final answer
    x = 5,472.04

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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.