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Finding the Fourth Proportional to 12,641.92, 18,967.80 and 5,244.50

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Solution

The fourth proportional to 12,641.92, 18,967.80 and 5,244.50 is: 7,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.92 : 18,967.80 = 5,244.50 : x
  2. Step 2: Convert to fraction form
    12,641.92/18,967.80 = 5,244.50/x
  3. Step 3: Cross multiply
    12,641.92x = 18,967.80 × 5,244.50
  4. Step 4: Simplify right side
    12,641.92x = 99,476,627.10
  5. Step 5: Solve for x
    x = 99,476,627.10/12,641.92
  6. Step 6: Final answer
    x = 7,868.79

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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.