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Finding the Fourth Proportional to 17,382.20, 23,987.21 and 9,424.40

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Solution

The fourth proportional to 17,382.20, 23,987.21 and 9,424.40 is: 13,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.20 : 23,987.21 = 9,424.40 : x
  2. Step 2: Convert to fraction form
    17,382.20/23,987.21 = 9,424.40/x
  3. Step 3: Cross multiply
    17,382.20x = 23,987.21 × 9,424.40
  4. Step 4: Simplify right side
    17,382.20x = 226,065,109.31
  5. Step 5: Solve for x
    x = 226,065,109.31/17,382.20
  6. Step 6: Final answer
    x = 13,005.56

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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.