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Finding the Fourth Proportional to 13,789, 20,687.58 and 7,949.80

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Solution

The fourth proportional to 13,789, 20,687.58 and 7,949.80 is: 11,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789 : 20,687.58 = 7,949.80 : x
  2. Step 2: Convert to fraction form
    13,789/20,687.58 = 7,949.80/x
  3. Step 3: Cross multiply
    13,789x = 20,687.58 × 7,949.80
  4. Step 4: Simplify right side
    13,789x = 164,462,123.48
  5. Step 5: Solve for x
    x = 164,462,123.48/13,789
  6. Step 6: Final answer
    x = 11,927.05

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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.