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Finding the Fourth Proportional to 20,199.80, 27,875.80 and 11,247.28

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Solution

The fourth proportional to 20,199.80, 27,875.80 and 11,247.28 is: 15,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.80 : 27,875.80 = 11,247.28 : x
  2. Step 2: Convert to fraction form
    20,199.80/27,875.80 = 11,247.28/x
  3. Step 3: Cross multiply
    20,199.80x = 27,875.80 × 11,247.28
  4. Step 4: Simplify right side
    20,199.80x = 313,526,927.82
  5. Step 5: Solve for x
    x = 313,526,927.82/20,199.80
  6. Step 6: Final answer
    x = 15,521.29

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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.