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Finding the Fourth Proportional to 10,650, 15,981.48 and 4,494

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Solution

The fourth proportional to 10,650, 15,981.48 and 4,494 is: 6,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650 : 15,981.48 = 4,494 : x
  2. Step 2: Convert to fraction form
    10,650/15,981.48 = 4,494/x
  3. Step 3: Cross multiply
    10,650x = 15,981.48 × 4,494
  4. Step 4: Simplify right side
    10,650x = 71,820,771.12
  5. Step 5: Solve for x
    x = 71,820,771.12/10,650
  6. Step 6: Final answer
    x = 6,743.73

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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.