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Finding the Fourth Proportional to 8,758, 13,142.47 and 3,563.88

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Solution

The fourth proportional to 8,758, 13,142.47 and 3,563.88 is: 5,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,758 : 13,142.47 = 3,563.88 : x
  2. Step 2: Convert to fraction form
    8,758/13,142.47 = 3,563.88/x
  3. Step 3: Cross multiply
    8,758x = 13,142.47 × 3,563.88
  4. Step 4: Simplify right side
    8,758x = 46,838,185.98
  5. Step 5: Solve for x
    x = 46,838,185.98/8,758
  6. Step 6: Final answer
    x = 5,348.05

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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.