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Finding the Fourth Proportional to 10,659.88, 15,975.86 and 5,723.74

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Solution

The fourth proportional to 10,659.88, 15,975.86 and 5,723.74 is: 8,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.88 : 15,975.86 = 5,723.74 : x
  2. Step 2: Convert to fraction form
    10,659.88/15,975.86 = 5,723.74/x
  3. Step 3: Cross multiply
    10,659.88x = 15,975.86 × 5,723.74
  4. Step 4: Simplify right side
    10,659.88x = 91,441,668.92
  5. Step 5: Solve for x
    x = 91,441,668.92/10,659.88
  6. Step 6: Final answer
    x = 8,578.11

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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.