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Finding the Fourth Proportional to 1,512.28, 2,087.01 and 840.15

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Solution

The fourth proportional to 1,512.28, 2,087.01 and 840.15 is: 1,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.28 : 2,087.01 = 840.15 : x
  2. Step 2: Convert to fraction form
    1,512.28/2,087.01 = 840.15/x
  3. Step 3: Cross multiply
    1,512.28x = 2,087.01 × 840.15
  4. Step 4: Simplify right side
    1,512.28x = 1,753,388.92
  5. Step 5: Solve for x
    x = 1,753,388.92/1,512.28
  6. Step 6: Final answer
    x = 1,159.44

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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.