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Finding the Fourth Proportional to 20,998.48, 31,478.28 and 11,758

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Solution

The fourth proportional to 20,998.48, 31,478.28 and 11,758 is: 17,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.48 : 31,478.28 = 11,758 : x
  2. Step 2: Convert to fraction form
    20,998.48/31,478.28 = 11,758/x
  3. Step 3: Cross multiply
    20,998.48x = 31,478.28 × 11,758
  4. Step 4: Simplify right side
    20,998.48x = 370,121,616.24
  5. Step 5: Solve for x
    x = 370,121,616.24/20,998.48
  6. Step 6: Final answer
    x = 17,626.11

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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.