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Finding the Fourth Proportional to 17,165.76, 25,747.20 and 5,478.08

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Solution

The fourth proportional to 17,165.76, 25,747.20 and 5,478.08 is: 8,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.76 : 25,747.20 = 5,478.08 : x
  2. Step 2: Convert to fraction form
    17,165.76/25,747.20 = 5,478.08/x
  3. Step 3: Cross multiply
    17,165.76x = 25,747.20 × 5,478.08
  4. Step 4: Simplify right side
    17,165.76x = 141,045,221.38
  5. Step 5: Solve for x
    x = 141,045,221.38/17,165.76
  6. Step 6: Final answer
    x = 8,216.66

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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.