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Finding the Fourth Proportional to 1,276.17, 1,903.17 and 1,112.55

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Solution

The fourth proportional to 1,276.17, 1,903.17 and 1,112.55 is: 1,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.17 : 1,903.17 = 1,112.55 : x
  2. Step 2: Convert to fraction form
    1,276.17/1,903.17 = 1,112.55/x
  3. Step 3: Cross multiply
    1,276.17x = 1,903.17 × 1,112.55
  4. Step 4: Simplify right side
    1,276.17x = 2,117,371.78
  5. Step 5: Solve for x
    x = 2,117,371.78/1,276.17
  6. Step 6: Final answer
    x = 1,659.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.