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Finding the Fourth Proportional to 1,272.61, 1,906.48 and 861.04

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Solution

The fourth proportional to 1,272.61, 1,906.48 and 861.04 is: 1,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.61 : 1,906.48 = 861.04 : x
  2. Step 2: Convert to fraction form
    1,272.61/1,906.48 = 861.04/x
  3. Step 3: Cross multiply
    1,272.61x = 1,906.48 × 861.04
  4. Step 4: Simplify right side
    1,272.61x = 1,641,555.54
  5. Step 5: Solve for x
    x = 1,641,555.54/1,272.61
  6. Step 6: Final answer
    x = 1,289.91

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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.