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Finding the Fourth Proportional to 20,082.35, 27,713.80 and 11,130

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Solution

The fourth proportional to 20,082.35, 27,713.80 and 11,130 is: 15,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.35 : 27,713.80 = 11,130 : x
  2. Step 2: Convert to fraction form
    20,082.35/27,713.80 = 11,130/x
  3. Step 3: Cross multiply
    20,082.35x = 27,713.80 × 11,130
  4. Step 4: Simplify right side
    20,082.35x = 308,454,594
  5. Step 5: Solve for x
    x = 308,454,594/20,082.35
  6. Step 6: Final answer
    x = 15,359.49

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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.