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Finding the Fourth Proportional to 5,324.34, 7,340.42 and 3,728.84

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Solution

The fourth proportional to 5,324.34, 7,340.42 and 3,728.84 is: 5,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.34 : 7,340.42 = 3,728.84 : x
  2. Step 2: Convert to fraction form
    5,324.34/7,340.42 = 3,728.84/x
  3. Step 3: Cross multiply
    5,324.34x = 7,340.42 × 3,728.84
  4. Step 4: Simplify right side
    5,324.34x = 27,371,251.71
  5. Step 5: Solve for x
    x = 27,371,251.71/5,324.34
  6. Step 6: Final answer
    x = 5,140.78

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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.