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Finding the Fourth Proportional to 2,711.50, 4,066.40 and 863.08

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Solution

The fourth proportional to 2,711.50, 4,066.40 and 863.08 is: 1,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.50 : 4,066.40 = 863.08 : x
  2. Step 2: Convert to fraction form
    2,711.50/4,066.40 = 863.08/x
  3. Step 3: Cross multiply
    2,711.50x = 4,066.40 × 863.08
  4. Step 4: Simplify right side
    2,711.50x = 3,509,620.50
  5. Step 5: Solve for x
    x = 3,509,620.50/2,711.50
  6. Step 6: Final answer
    x = 1,294.35

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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.