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Finding the Fourth Proportional to 7,112.61, 10,668.87 and 3,827.25

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Solution

The fourth proportional to 7,112.61, 10,668.87 and 3,827.25 is: 5,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.61 : 10,668.87 = 3,827.25 : x
  2. Step 2: Convert to fraction form
    7,112.61/10,668.87 = 3,827.25/x
  3. Step 3: Cross multiply
    7,112.61x = 10,668.87 × 3,827.25
  4. Step 4: Simplify right side
    7,112.61x = 40,832,432.71
  5. Step 5: Solve for x
    x = 40,832,432.71/7,112.61
  6. Step 6: Final answer
    x = 5,740.85

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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.