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Finding the Fourth Proportional to 2,781.47, 4,172.21 and 701.46

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Solution

The fourth proportional to 2,781.47, 4,172.21 and 701.46 is: 1,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.47 : 4,172.21 = 701.46 : x
  2. Step 2: Convert to fraction form
    2,781.47/4,172.21 = 701.46/x
  3. Step 3: Cross multiply
    2,781.47x = 4,172.21 × 701.46
  4. Step 4: Simplify right side
    2,781.47x = 2,926,637.55
  5. Step 5: Solve for x
    x = 2,926,637.55/2,781.47
  6. Step 6: Final answer
    x = 1,052.19

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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.