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Finding the Fourth Proportional to 1,951.86, 2,693.86 and 1,112.36

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Solution

The fourth proportional to 1,951.86, 2,693.86 and 1,112.36 is: 1,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.86 : 2,693.86 = 1,112.36 : x
  2. Step 2: Convert to fraction form
    1,951.86/2,693.86 = 1,112.36/x
  3. Step 3: Cross multiply
    1,951.86x = 2,693.86 × 1,112.36
  4. Step 4: Simplify right side
    1,951.86x = 2,996,542.11
  5. Step 5: Solve for x
    x = 2,996,542.11/1,951.86
  6. Step 6: Final answer
    x = 1,535.22

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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.