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Finding the Fourth Proportional to 14,655, 20,223.90 and 8,031

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Solution

The fourth proportional to 14,655, 20,223.90 and 8,031 is: 11,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,655 : 20,223.90 = 8,031 : x
  2. Step 2: Convert to fraction form
    14,655/20,223.90 = 8,031/x
  3. Step 3: Cross multiply
    14,655x = 20,223.90 × 8,031
  4. Step 4: Simplify right side
    14,655x = 162,418,140.90
  5. Step 5: Solve for x
    x = 162,418,140.90/14,655
  6. Step 6: Final answer
    x = 11,082.78

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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.