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Finding the Fourth Proportional to 8,961.80, 13,442.70 and 3,118.40

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Solution

The fourth proportional to 8,961.80, 13,442.70 and 3,118.40 is: 4,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.80 : 13,442.70 = 3,118.40 : x
  2. Step 2: Convert to fraction form
    8,961.80/13,442.70 = 3,118.40/x
  3. Step 3: Cross multiply
    8,961.80x = 13,442.70 × 3,118.40
  4. Step 4: Simplify right side
    8,961.80x = 41,919,715.68
  5. Step 5: Solve for x
    x = 41,919,715.68/8,961.80
  6. Step 6: Final answer
    x = 4,677.60

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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.