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Finding the Fourth Proportional to 20,253.50, 27,952.54 and 11,870

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Solution

The fourth proportional to 20,253.50, 27,952.54 and 11,870 is: 16,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253.50 : 27,952.54 = 11,870 : x
  2. Step 2: Convert to fraction form
    20,253.50/27,952.54 = 11,870/x
  3. Step 3: Cross multiply
    20,253.50x = 27,952.54 × 11,870
  4. Step 4: Simplify right side
    20,253.50x = 331,796,649.80
  5. Step 5: Solve for x
    x = 331,796,649.80/20,253.50
  6. Step 6: Final answer
    x = 16,382.19

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1.5x scale

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.