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Finding the Fourth Proportional to 2,079.27, 3,117.49 and 779.63

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Solution

The fourth proportional to 2,079.27, 3,117.49 and 779.63 is: 1,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.27 : 3,117.49 = 779.63 : x
  2. Step 2: Convert to fraction form
    2,079.27/3,117.49 = 779.63/x
  3. Step 3: Cross multiply
    2,079.27x = 3,117.49 × 779.63
  4. Step 4: Simplify right side
    2,079.27x = 2,430,471.19
  5. Step 5: Solve for x
    x = 2,430,471.19/2,079.27
  6. Step 6: Final answer
    x = 1,168.91

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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.