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Finding the Fourth Proportional to 25,878.44, 35,712.10 and 15,805.48

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Solution

The fourth proportional to 25,878.44, 35,712.10 and 15,805.48 is: 21,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.44 : 35,712.10 = 15,805.48 : x
  2. Step 2: Convert to fraction form
    25,878.44/35,712.10 = 15,805.48/x
  3. Step 3: Cross multiply
    25,878.44x = 35,712.10 × 15,805.48
  4. Step 4: Simplify right side
    25,878.44x = 564,446,882.31
  5. Step 5: Solve for x
    x = 564,446,882.31/25,878.44
  6. Step 6: Final answer
    x = 21,811.47

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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.