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Finding the Fourth Proportional to 5,715.40, 8,566.70 and 3,251.40

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Solution

The fourth proportional to 5,715.40, 8,566.70 and 3,251.40 is: 4,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.40 : 8,566.70 = 3,251.40 : x
  2. Step 2: Convert to fraction form
    5,715.40/8,566.70 = 3,251.40/x
  3. Step 3: Cross multiply
    5,715.40x = 8,566.70 × 3,251.40
  4. Step 4: Simplify right side
    5,715.40x = 27,853,768.38
  5. Step 5: Solve for x
    x = 27,853,768.38/5,715.40
  6. Step 6: Final answer
    x = 4,873.46

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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.