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Finding the Fourth Proportional to 19,980.69, 29,947.71 and 15,034.44

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Solution

The fourth proportional to 19,980.69, 29,947.71 and 15,034.44 is: 22,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.69 : 29,947.71 = 15,034.44 : x
  2. Step 2: Convert to fraction form
    19,980.69/29,947.71 = 15,034.44/x
  3. Step 3: Cross multiply
    19,980.69x = 29,947.71 × 15,034.44
  4. Step 4: Simplify right side
    19,980.69x = 450,247,049.13
  5. Step 5: Solve for x
    x = 450,247,049.13/19,980.69
  6. Step 6: Final answer
    x = 22,534.11

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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.