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Finding the Fourth Proportional to 2,713.47, 3,744.68 and 1,534.47

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Solution

The fourth proportional to 2,713.47, 3,744.68 and 1,534.47 is: 2,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.47 : 3,744.68 = 1,534.47 : x
  2. Step 2: Convert to fraction form
    2,713.47/3,744.68 = 1,534.47/x
  3. Step 3: Cross multiply
    2,713.47x = 3,744.68 × 1,534.47
  4. Step 4: Simplify right side
    2,713.47x = 5,746,099.12
  5. Step 5: Solve for x
    x = 5,746,099.12/2,713.47
  6. Step 6: Final answer
    x = 2,117.62

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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.