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Finding the Fourth Proportional to 12,381.78, 18,581.88 and 7,708.60

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Solution

The fourth proportional to 12,381.78, 18,581.88 and 7,708.60 is: 11,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.78 : 18,581.88 = 7,708.60 : x
  2. Step 2: Convert to fraction form
    12,381.78/18,581.88 = 7,708.60/x
  3. Step 3: Cross multiply
    12,381.78x = 18,581.88 × 7,708.60
  4. Step 4: Simplify right side
    12,381.78x = 143,240,280.17
  5. Step 5: Solve for x
    x = 143,240,280.17/12,381.78
  6. Step 6: Final answer
    x = 11,568.63

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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.