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Finding the Fourth Proportional to 4,763.76, 7,135.89 and 2,811.25

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Solution

The fourth proportional to 4,763.76, 7,135.89 and 2,811.25 is: 4,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.76 : 7,135.89 = 2,811.25 : x
  2. Step 2: Convert to fraction form
    4,763.76/7,135.89 = 2,811.25/x
  3. Step 3: Cross multiply
    4,763.76x = 7,135.89 × 2,811.25
  4. Step 4: Simplify right side
    4,763.76x = 20,060,770.76
  5. Step 5: Solve for x
    x = 20,060,770.76/4,763.76
  6. Step 6: Final answer
    x = 4,211.12

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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.