Home / 10,960.38-16,440-9,741.78

Finding the Fourth Proportional to 10,960.38, 16,440 and 9,741.78

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Solution

The fourth proportional to 10,960.38, 16,440 and 9,741.78 is: 14,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.38 : 16,440 = 9,741.78 : x
  2. Step 2: Convert to fraction form
    10,960.38/16,440 = 9,741.78/x
  3. Step 3: Cross multiply
    10,960.38x = 16,440 × 9,741.78
  4. Step 4: Simplify right side
    10,960.38x = 160,154,863.20
  5. Step 5: Solve for x
    x = 160,154,863.20/10,960.38
  6. Step 6: Final answer
    x = 14,612.16

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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.