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Finding the Fourth Proportional to 2,712, 3,734.32 and 2,318.16

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Solution

The fourth proportional to 2,712, 3,734.32 and 2,318.16 is: 3,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712 : 3,734.32 = 2,318.16 : x
  2. Step 2: Convert to fraction form
    2,712/3,734.32 = 2,318.16/x
  3. Step 3: Cross multiply
    2,712x = 3,734.32 × 2,318.16
  4. Step 4: Simplify right side
    2,712x = 8,656,751.25
  5. Step 5: Solve for x
    x = 8,656,751.25/2,712
  6. Step 6: Final answer
    x = 3,192.02

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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.