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Finding the Fourth Proportional to 1,342.01, 1,851.21 and 782.42

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Solution

The fourth proportional to 1,342.01, 1,851.21 and 782.42 is: 1,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.01 : 1,851.21 = 782.42 : x
  2. Step 2: Convert to fraction form
    1,342.01/1,851.21 = 782.42/x
  3. Step 3: Cross multiply
    1,342.01x = 1,851.21 × 782.42
  4. Step 4: Simplify right side
    1,342.01x = 1,448,414.47
  5. Step 5: Solve for x
    x = 1,448,414.47/1,342.01
  6. Step 6: Final answer
    x = 1,079.29

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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.