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Finding the Fourth Proportional to 5,209.76, 7,810.98 and 2,610.86

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Solution

The fourth proportional to 5,209.76, 7,810.98 and 2,610.86 is: 3,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.76 : 7,810.98 = 2,610.86 : x
  2. Step 2: Convert to fraction form
    5,209.76/7,810.98 = 2,610.86/x
  3. Step 3: Cross multiply
    5,209.76x = 7,810.98 × 2,610.86
  4. Step 4: Simplify right side
    5,209.76x = 20,393,375.24
  5. Step 5: Solve for x
    x = 20,393,375.24/5,209.76
  6. Step 6: Final answer
    x = 3,914.46

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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.