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Finding the Fourth Proportional to 25,878.67, 35,713.85 and 15,805.47

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Solution

The fourth proportional to 25,878.67, 35,713.85 and 15,805.47 is: 21,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.67 : 35,713.85 = 15,805.47 : x
  2. Step 2: Convert to fraction form
    25,878.67/35,713.85 = 15,805.47/x
  3. Step 3: Cross multiply
    25,878.67x = 35,713.85 × 15,805.47
  4. Step 4: Simplify right side
    25,878.67x = 564,474,239.66
  5. Step 5: Solve for x
    x = 564,474,239.66/25,878.67
  6. Step 6: Final answer
    x = 21,812.34

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1.5x scale

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.