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Finding the Fourth Proportional to 1,252.38, 1,876.57 and 840

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Solution

The fourth proportional to 1,252.38, 1,876.57 and 840 is: 1,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.38 : 1,876.57 = 840 : x
  2. Step 2: Convert to fraction form
    1,252.38/1,876.57 = 840/x
  3. Step 3: Cross multiply
    1,252.38x = 1,876.57 × 840
  4. Step 4: Simplify right side
    1,252.38x = 1,576,318.80
  5. Step 5: Solve for x
    x = 1,576,318.80/1,252.38
  6. Step 6: Final answer
    x = 1,258.66

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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.