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Finding the Fourth Proportional to 13,930.68, 20,899.49 and 6,913.99

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Solution

The fourth proportional to 13,930.68, 20,899.49 and 6,913.99 is: 10,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.68 : 20,899.49 = 6,913.99 : x
  2. Step 2: Convert to fraction form
    13,930.68/20,899.49 = 6,913.99/x
  3. Step 3: Cross multiply
    13,930.68x = 20,899.49 × 6,913.99
  4. Step 4: Simplify right side
    13,930.68x = 144,498,856.42
  5. Step 5: Solve for x
    x = 144,498,856.42/13,930.68
  6. Step 6: Final answer
    x = 10,372.70

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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.