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Finding the Fourth Proportional to 5,309.80, 7,955.90 and 3,742.16

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Solution

The fourth proportional to 5,309.80, 7,955.90 and 3,742.16 is: 5,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.80 : 7,955.90 = 3,742.16 : x
  2. Step 2: Convert to fraction form
    5,309.80/7,955.90 = 3,742.16/x
  3. Step 3: Cross multiply
    5,309.80x = 7,955.90 × 3,742.16
  4. Step 4: Simplify right side
    5,309.80x = 29,772,251.70
  5. Step 5: Solve for x
    x = 29,772,251.70/5,309.80
  6. Step 6: Final answer
    x = 5,607.04

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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.