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Finding the Fourth Proportional to 17,005.30, 25,471.02 and 8,221.78

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Solution

The fourth proportional to 17,005.30, 25,471.02 and 8,221.78 is: 12,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.30 : 25,471.02 = 8,221.78 : x
  2. Step 2: Convert to fraction form
    17,005.30/25,471.02 = 8,221.78/x
  3. Step 3: Cross multiply
    17,005.30x = 25,471.02 × 8,221.78
  4. Step 4: Simplify right side
    17,005.30x = 209,417,122.82
  5. Step 5: Solve for x
    x = 209,417,122.82/17,005.30
  6. Step 6: Final answer
    x = 12,314.81

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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.