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Finding the Fourth Proportional to 2,079.91, 3,118.04 and 781.08

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Solution

The fourth proportional to 2,079.91, 3,118.04 and 781.08 is: 1,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.91 : 3,118.04 = 781.08 : x
  2. Step 2: Convert to fraction form
    2,079.91/3,118.04 = 781.08/x
  3. Step 3: Cross multiply
    2,079.91x = 3,118.04 × 781.08
  4. Step 4: Simplify right side
    2,079.91x = 2,435,430.41
  5. Step 5: Solve for x
    x = 2,435,430.41/2,079.91
  6. Step 6: Final answer
    x = 1,170.93

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1.5x scale

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.