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Finding the Fourth Proportional to 1,512.18, 2,086.91 and 840.02

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Solution

The fourth proportional to 1,512.18, 2,086.91 and 840.02 is: 1,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.18 : 2,086.91 = 840.02 : x
  2. Step 2: Convert to fraction form
    1,512.18/2,086.91 = 840.02/x
  3. Step 3: Cross multiply
    1,512.18x = 2,086.91 × 840.02
  4. Step 4: Simplify right side
    1,512.18x = 1,753,046.14
  5. Step 5: Solve for x
    x = 1,753,046.14/1,512.18
  6. Step 6: Final answer
    x = 1,159.28

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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.