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Finding the Fourth Proportional to 20,209, 27,888.42 and 11,377

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Solution

The fourth proportional to 20,209, 27,888.42 and 11,377 is: 15,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209 : 27,888.42 = 11,377 : x
  2. Step 2: Convert to fraction form
    20,209/27,888.42 = 11,377/x
  3. Step 3: Cross multiply
    20,209x = 27,888.42 × 11,377
  4. Step 4: Simplify right side
    20,209x = 317,286,554.34
  5. Step 5: Solve for x
    x = 317,286,554.34/20,209
  6. Step 6: Final answer
    x = 15,700.26

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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.