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Finding the Fourth Proportional to 25,254.71, 37,878.41 and 7,719.83

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Solution

The fourth proportional to 25,254.71, 37,878.41 and 7,719.83 is: 11,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254.71 : 37,878.41 = 7,719.83 : x
  2. Step 2: Convert to fraction form
    25,254.71/37,878.41 = 7,719.83/x
  3. Step 3: Cross multiply
    25,254.71x = 37,878.41 × 7,719.83
  4. Step 4: Simplify right side
    25,254.71x = 292,414,657.88
  5. Step 5: Solve for x
    x = 292,414,657.88/25,254.71
  6. Step 6: Final answer
    x = 11,578.62

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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.