Home / 11,743.76-16,200.24-8,750

Finding the Fourth Proportional to 11,743.76, 16,200.24 and 8,750

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Solution

The fourth proportional to 11,743.76, 16,200.24 and 8,750 is: 12,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.76 : 16,200.24 = 8,750 : x
  2. Step 2: Convert to fraction form
    11,743.76/16,200.24 = 8,750/x
  3. Step 3: Cross multiply
    11,743.76x = 16,200.24 × 8,750
  4. Step 4: Simplify right side
    11,743.76x = 141,752,100
  5. Step 5: Solve for x
    x = 141,752,100/11,743.76
  6. Step 6: Final answer
    x = 12,070.42

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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.