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Finding the Fourth Proportional to 12,581.91, 18,875.13 and 5,182.32

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Solution

The fourth proportional to 12,581.91, 18,875.13 and 5,182.32 is: 7,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.91 : 18,875.13 = 5,182.32 : x
  2. Step 2: Convert to fraction form
    12,581.91/18,875.13 = 5,182.32/x
  3. Step 3: Cross multiply
    12,581.91x = 18,875.13 × 5,182.32
  4. Step 4: Simplify right side
    12,581.91x = 97,816,963.70
  5. Step 5: Solve for x
    x = 97,816,963.70/12,581.91
  6. Step 6: Final answer
    x = 7,774.41

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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.