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Finding the Fourth Proportional to 12,544.74, 18,838.17 and 8,411.31

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Solution

The fourth proportional to 12,544.74, 18,838.17 and 8,411.31 is: 12,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.74 : 18,838.17 = 8,411.31 : x
  2. Step 2: Convert to fraction form
    12,544.74/18,838.17 = 8,411.31/x
  3. Step 3: Cross multiply
    12,544.74x = 18,838.17 × 8,411.31
  4. Step 4: Simplify right side
    12,544.74x = 158,453,687.70
  5. Step 5: Solve for x
    x = 158,453,687.70/12,544.74
  6. Step 6: Final answer
    x = 12,631.09

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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.