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Finding the Fourth Proportional to 1,272.92, 1,755.72 and 1,095.57

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Solution

The fourth proportional to 1,272.92, 1,755.72 and 1,095.57 is: 1,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.92 : 1,755.72 = 1,095.57 : x
  2. Step 2: Convert to fraction form
    1,272.92/1,755.72 = 1,095.57/x
  3. Step 3: Cross multiply
    1,272.92x = 1,755.72 × 1,095.57
  4. Step 4: Simplify right side
    1,272.92x = 1,923,503.47
  5. Step 5: Solve for x
    x = 1,923,503.47/1,272.92
  6. Step 6: Final answer
    x = 1,511.10

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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.