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Finding the Fourth Proportional to 9,343.76, 14,011.20 and 5,449.28

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Solution

The fourth proportional to 9,343.76, 14,011.20 and 5,449.28 is: 8,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.76 : 14,011.20 = 5,449.28 : x
  2. Step 2: Convert to fraction form
    9,343.76/14,011.20 = 5,449.28/x
  3. Step 3: Cross multiply
    9,343.76x = 14,011.20 × 5,449.28
  4. Step 4: Simplify right side
    9,343.76x = 76,350,951.94
  5. Step 5: Solve for x
    x = 76,350,951.94/9,343.76
  6. Step 6: Final answer
    x = 8,171.33

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1.5x scale

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.