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Finding the Fourth Proportional to 12,497, 18,754.77 and 5,923.20

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Solution

The fourth proportional to 12,497, 18,754.77 and 5,923.20 is: 8,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497 : 18,754.77 = 5,923.20 : x
  2. Step 2: Convert to fraction form
    12,497/18,754.77 = 5,923.20/x
  3. Step 3: Cross multiply
    12,497x = 18,754.77 × 5,923.20
  4. Step 4: Simplify right side
    12,497x = 111,088,253.66
  5. Step 5: Solve for x
    x = 111,088,253.66/12,497
  6. Step 6: Final answer
    x = 8,889.19

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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.