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Finding the Fourth Proportional to 1,821.16, 2,731.82 and 781.48

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Solution

The fourth proportional to 1,821.16, 2,731.82 and 781.48 is: 1,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.16 : 2,731.82 = 781.48 : x
  2. Step 2: Convert to fraction form
    1,821.16/2,731.82 = 781.48/x
  3. Step 3: Cross multiply
    1,821.16x = 2,731.82 × 781.48
  4. Step 4: Simplify right side
    1,821.16x = 2,134,862.69
  5. Step 5: Solve for x
    x = 2,134,862.69/1,821.16
  6. Step 6: Final answer
    x = 1,172.25

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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.