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Finding the Fourth Proportional to 11,563.80, 17,340.84 and 7,868.04

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Solution

The fourth proportional to 11,563.80, 17,340.84 and 7,868.04 is: 11,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.80 : 17,340.84 = 7,868.04 : x
  2. Step 2: Convert to fraction form
    11,563.80/17,340.84 = 7,868.04/x
  3. Step 3: Cross multiply
    11,563.80x = 17,340.84 × 7,868.04
  4. Step 4: Simplify right side
    11,563.80x = 136,438,422.75
  5. Step 5: Solve for x
    x = 136,438,422.75/11,563.80
  6. Step 6: Final answer
    x = 11,798.75

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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.