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Finding the Fourth Proportional to 1,951.95, 2,693.76 and 1,112.78

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Solution

The fourth proportional to 1,951.95, 2,693.76 and 1,112.78 is: 1,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.95 : 2,693.76 = 1,112.78 : x
  2. Step 2: Convert to fraction form
    1,951.95/2,693.76 = 1,112.78/x
  3. Step 3: Cross multiply
    1,951.95x = 2,693.76 × 1,112.78
  4. Step 4: Simplify right side
    1,951.95x = 2,997,568.99
  5. Step 5: Solve for x
    x = 2,997,568.99/1,951.95
  6. Step 6: Final answer
    x = 1,535.68

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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.