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Finding the Fourth Proportional to 1,340.79, 2,012.92 and 1,032.86

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Solution

The fourth proportional to 1,340.79, 2,012.92 and 1,032.86 is: 1,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.79 : 2,012.92 = 1,032.86 : x
  2. Step 2: Convert to fraction form
    1,340.79/2,012.92 = 1,032.86/x
  3. Step 3: Cross multiply
    1,340.79x = 2,012.92 × 1,032.86
  4. Step 4: Simplify right side
    1,340.79x = 2,079,049.32
  5. Step 5: Solve for x
    x = 2,079,049.32/1,340.79
  6. Step 6: Final answer
    x = 1,550.62

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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.