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Finding the Fourth Proportional to 17,478, 24,119.67 and 9,520.20

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Solution

The fourth proportional to 17,478, 24,119.67 and 9,520.20 is: 13,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478 : 24,119.67 = 9,520.20 : x
  2. Step 2: Convert to fraction form
    17,478/24,119.67 = 9,520.20/x
  3. Step 3: Cross multiply
    17,478x = 24,119.67 × 9,520.20
  4. Step 4: Simplify right side
    17,478x = 229,624,082.33
  5. Step 5: Solve for x
    x = 229,624,082.33/17,478
  6. Step 6: Final answer
    x = 13,137.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.