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Finding the Fourth Proportional to 25,135, 37,719.78 and 8,719

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Solution

The fourth proportional to 25,135, 37,719.78 and 8,719 is: 13,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,135 : 37,719.78 = 8,719 : x
  2. Step 2: Convert to fraction form
    25,135/37,719.78 = 8,719/x
  3. Step 3: Cross multiply
    25,135x = 37,719.78 × 8,719
  4. Step 4: Simplify right side
    25,135x = 328,878,761.82
  5. Step 5: Solve for x
    x = 328,878,761.82/25,135
  6. Step 6: Final answer
    x = 13,084.49

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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.