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Finding the Fourth Proportional to 18,424, 25,425.30 and 10,040.68

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Solution

The fourth proportional to 18,424, 25,425.30 and 10,040.68 is: 13,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,424 : 25,425.30 = 10,040.68 : x
  2. Step 2: Convert to fraction form
    18,424/25,425.30 = 10,040.68/x
  3. Step 3: Cross multiply
    18,424x = 25,425.30 × 10,040.68
  4. Step 4: Simplify right side
    18,424x = 255,287,301.20
  5. Step 5: Solve for x
    x = 255,287,301.20/18,424
  6. Step 6: Final answer
    x = 13,856.24

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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.