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Finding the Fourth Proportional to 10,659.78, 15,989.78 and 4,084.41

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Solution

The fourth proportional to 10,659.78, 15,989.78 and 4,084.41 is: 6,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.78 : 15,989.78 = 4,084.41 : x
  2. Step 2: Convert to fraction form
    10,659.78/15,989.78 = 4,084.41/x
  3. Step 3: Cross multiply
    10,659.78x = 15,989.78 × 4,084.41
  4. Step 4: Simplify right side
    10,659.78x = 65,308,796.91
  5. Step 5: Solve for x
    x = 65,308,796.91/10,659.78
  6. Step 6: Final answer
    x = 6,126.66

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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.