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Finding the Fourth Proportional to 7,847.10, 11,769.84 and 2,652.84

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Solution

The fourth proportional to 7,847.10, 11,769.84 and 2,652.84 is: 3,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.10 : 11,769.84 = 2,652.84 : x
  2. Step 2: Convert to fraction form
    7,847.10/11,769.84 = 2,652.84/x
  3. Step 3: Cross multiply
    7,847.10x = 11,769.84 × 2,652.84
  4. Step 4: Simplify right side
    7,847.10x = 31,223,502.35
  5. Step 5: Solve for x
    x = 31,223,502.35/7,847.10
  6. Step 6: Final answer
    x = 3,978.99

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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.