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Finding the Fourth Proportional to 8,471.90, 12,712.24 and 5,662.70

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Solution

The fourth proportional to 8,471.90, 12,712.24 and 5,662.70 is: 8,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.90 : 12,712.24 = 5,662.70 : x
  2. Step 2: Convert to fraction form
    8,471.90/12,712.24 = 5,662.70/x
  3. Step 3: Cross multiply
    8,471.90x = 12,712.24 × 5,662.70
  4. Step 4: Simplify right side
    8,471.90x = 71,985,601.45
  5. Step 5: Solve for x
    x = 71,985,601.45/8,471.90
  6. Step 6: Final answer
    x = 8,496.98

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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.