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Finding the Fourth Proportional to 5,246.98, 7,865.00 and 2,781.14

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Solution

The fourth proportional to 5,246.98, 7,865.00 and 2,781.14 is: 4,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.98 : 7,865.00 = 2,781.14 : x
  2. Step 2: Convert to fraction form
    5,246.98/7,865.00 = 2,781.14/x
  3. Step 3: Cross multiply
    5,246.98x = 7,865.00 × 2,781.14
  4. Step 4: Simplify right side
    5,246.98x = 21,873,623.30
  5. Step 5: Solve for x
    x = 21,873,623.30/5,246.98
  6. Step 6: Final answer
    x = 4,168.80

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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.