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Finding the Fourth Proportional to 7,243.68, 9,996.42 and 4,449.18

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Solution

The fourth proportional to 7,243.68, 9,996.42 and 4,449.18 is: 6,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.68 : 9,996.42 = 4,449.18 : x
  2. Step 2: Convert to fraction form
    7,243.68/9,996.42 = 4,449.18/x
  3. Step 3: Cross multiply
    7,243.68x = 9,996.42 × 4,449.18
  4. Step 4: Simplify right side
    7,243.68x = 44,475,871.94
  5. Step 5: Solve for x
    x = 44,475,871.94/7,243.68
  6. Step 6: Final answer
    x = 6,139.96

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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.