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Finding the Fourth Proportional to 25,308.76, 37,959.25 and 8,442.07

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Solution

The fourth proportional to 25,308.76, 37,959.25 and 8,442.07 is: 12,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,308.76 : 37,959.25 = 8,442.07 : x
  2. Step 2: Convert to fraction form
    25,308.76/37,959.25 = 8,442.07/x
  3. Step 3: Cross multiply
    25,308.76x = 37,959.25 × 8,442.07
  4. Step 4: Simplify right side
    25,308.76x = 320,454,645.65
  5. Step 5: Solve for x
    x = 320,454,645.65/25,308.76
  6. Step 6: Final answer
    x = 12,661.81

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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.