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Finding the Fourth Proportional to 1,821.42, 2,732.13 and 781.33

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Solution

The fourth proportional to 1,821.42, 2,732.13 and 781.33 is: 1,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.42 : 2,732.13 = 781.33 : x
  2. Step 2: Convert to fraction form
    1,821.42/2,732.13 = 781.33/x
  3. Step 3: Cross multiply
    1,821.42x = 2,732.13 × 781.33
  4. Step 4: Simplify right side
    1,821.42x = 2,134,695.13
  5. Step 5: Solve for x
    x = 2,134,695.13/1,821.42
  6. Step 6: Final answer
    x = 1,172.00

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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.