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Finding the Fourth Proportional to 7,763.76, 11,645.63 and 2,498.65

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Solution

The fourth proportional to 7,763.76, 11,645.63 and 2,498.65 is: 3,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.76 : 11,645.63 = 2,498.65 : x
  2. Step 2: Convert to fraction form
    7,763.76/11,645.63 = 2,498.65/x
  3. Step 3: Cross multiply
    7,763.76x = 11,645.63 × 2,498.65
  4. Step 4: Simplify right side
    7,763.76x = 29,098,353.40
  5. Step 5: Solve for x
    x = 29,098,353.40/7,763.76
  6. Step 6: Final answer
    x = 3,747.97

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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.