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Finding the Fourth Proportional to 25,881.76, 38,786.86 and 11,807.47

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Solution

The fourth proportional to 25,881.76, 38,786.86 and 11,807.47 is: 17,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.76 : 38,786.86 = 11,807.47 : x
  2. Step 2: Convert to fraction form
    25,881.76/38,786.86 = 11,807.47/x
  3. Step 3: Cross multiply
    25,881.76x = 38,786.86 × 11,807.47
  4. Step 4: Simplify right side
    25,881.76x = 457,974,685.84
  5. Step 5: Solve for x
    x = 457,974,685.84/25,881.76
  6. Step 6: Final answer
    x = 17,694.88

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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.