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Finding the Fourth Proportional to 2,079.28, 3,119.94 and 781.12

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Solution

The fourth proportional to 2,079.28, 3,119.94 and 781.12 is: 1,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.28 : 3,119.94 = 781.12 : x
  2. Step 2: Convert to fraction form
    2,079.28/3,119.94 = 781.12/x
  3. Step 3: Cross multiply
    2,079.28x = 3,119.94 × 781.12
  4. Step 4: Simplify right side
    2,079.28x = 2,437,047.53
  5. Step 5: Solve for x
    x = 2,437,047.53/2,079.28
  6. Step 6: Final answer
    x = 1,172.06

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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.