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Finding the Fourth Proportional to 10,665.28, 14,718 and 5,949.28

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Solution

The fourth proportional to 10,665.28, 14,718 and 5,949.28 is: 8,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.28 : 14,718 = 5,949.28 : x
  2. Step 2: Convert to fraction form
    10,665.28/14,718 = 5,949.28/x
  3. Step 3: Cross multiply
    10,665.28x = 14,718 × 5,949.28
  4. Step 4: Simplify right side
    10,665.28x = 87,561,503.04
  5. Step 5: Solve for x
    x = 87,561,503.04/10,665.28
  6. Step 6: Final answer
    x = 8,209.96

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1.5x scale

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.