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Finding the Fourth Proportional to 2,712.64, 3,720.56 and 2,508.52

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Solution

The fourth proportional to 2,712.64, 3,720.56 and 2,508.52 is: 3,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.64 : 3,720.56 = 2,508.52 : x
  2. Step 2: Convert to fraction form
    2,712.64/3,720.56 = 2,508.52/x
  3. Step 3: Cross multiply
    2,712.64x = 3,720.56 × 2,508.52
  4. Step 4: Simplify right side
    2,712.64x = 9,333,099.17
  5. Step 5: Solve for x
    x = 9,333,099.17/2,712.64
  6. Step 6: Final answer
    x = 3,440.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.