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Finding the Fourth Proportional to 14,939, 20,615.82 and 8,315

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Solution

The fourth proportional to 14,939, 20,615.82 and 8,315 is: 11,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,939 : 20,615.82 = 8,315 : x
  2. Step 2: Convert to fraction form
    14,939/20,615.82 = 8,315/x
  3. Step 3: Cross multiply
    14,939x = 20,615.82 × 8,315
  4. Step 4: Simplify right side
    14,939x = 171,420,543.30
  5. Step 5: Solve for x
    x = 171,420,543.30/14,939
  6. Step 6: Final answer
    x = 11,474.70

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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.