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Finding the Fourth Proportional to 1,781.18, 2,671.62 and 857.48

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Solution

The fourth proportional to 1,781.18, 2,671.62 and 857.48 is: 1,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.18 : 2,671.62 = 857.48 : x
  2. Step 2: Convert to fraction form
    1,781.18/2,671.62 = 857.48/x
  3. Step 3: Cross multiply
    1,781.18x = 2,671.62 × 857.48
  4. Step 4: Simplify right side
    1,781.18x = 2,290,860.72
  5. Step 5: Solve for x
    x = 2,290,860.72/1,781.18
  6. Step 6: Final answer
    x = 1,286.15

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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.