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Finding the Fourth Proportional to 17,867.40, 24,658.52 and 9,912.20

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Solution

The fourth proportional to 17,867.40, 24,658.52 and 9,912.20 is: 13,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.40 : 24,658.52 = 9,912.20 : x
  2. Step 2: Convert to fraction form
    17,867.40/24,658.52 = 9,912.20/x
  3. Step 3: Cross multiply
    17,867.40x = 24,658.52 × 9,912.20
  4. Step 4: Simplify right side
    17,867.40x = 244,420,009.09
  5. Step 5: Solve for x
    x = 244,420,009.09/17,867.40
  6. Step 6: Final answer
    x = 13,679.66

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1.5x scale

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.