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Finding the Fourth Proportional to 2,712, 3,742.26 and 1,532.82

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Solution

The fourth proportional to 2,712, 3,742.26 and 1,532.82 is: 2,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712 : 3,742.26 = 1,532.82 : x
  2. Step 2: Convert to fraction form
    2,712/3,742.26 = 1,532.82/x
  3. Step 3: Cross multiply
    2,712x = 3,742.26 × 1,532.82
  4. Step 4: Simplify right side
    2,712x = 5,736,210.97
  5. Step 5: Solve for x
    x = 5,736,210.97/2,712
  6. Step 6: Final answer
    x = 2,115.12

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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.