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Finding the Fourth Proportional to 8,940, 12,337.20 and 4,961.76

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Solution

The fourth proportional to 8,940, 12,337.20 and 4,961.76 is: 6,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940 : 12,337.20 = 4,961.76 : x
  2. Step 2: Convert to fraction form
    8,940/12,337.20 = 4,961.76/x
  3. Step 3: Cross multiply
    8,940x = 12,337.20 × 4,961.76
  4. Step 4: Simplify right side
    8,940x = 61,214,225.47
  5. Step 5: Solve for x
    x = 61,214,225.47/8,940
  6. Step 6: Final answer
    x = 6,847.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.