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Finding the Fourth Proportional to 2,715.97, 4,073.86 and 867.20

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Solution

The fourth proportional to 2,715.97, 4,073.86 and 867.20 is: 1,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.97 : 4,073.86 = 867.20 : x
  2. Step 2: Convert to fraction form
    2,715.97/4,073.86 = 867.20/x
  3. Step 3: Cross multiply
    2,715.97x = 4,073.86 × 867.20
  4. Step 4: Simplify right side
    2,715.97x = 3,532,831.02
  5. Step 5: Solve for x
    x = 3,532,831.02/2,715.97
  6. Step 6: Final answer
    x = 1,300.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.