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Finding the Fourth Proportional to 5,471.40, 8,207.10 and 1,522.65

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Solution

The fourth proportional to 5,471.40, 8,207.10 and 1,522.65 is: 2,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.40 : 8,207.10 = 1,522.65 : x
  2. Step 2: Convert to fraction form
    5,471.40/8,207.10 = 1,522.65/x
  3. Step 3: Cross multiply
    5,471.40x = 8,207.10 × 1,522.65
  4. Step 4: Simplify right side
    5,471.40x = 12,496,540.82
  5. Step 5: Solve for x
    x = 12,496,540.82/5,471.40
  6. Step 6: Final answer
    x = 2,283.98

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Double scale
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Similar ratio
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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.