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Finding the Fourth Proportional to 8,643.45, 12,965.24 and 3,708.93

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Solution

The fourth proportional to 8,643.45, 12,965.24 and 3,708.93 is: 5,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.45 : 12,965.24 = 3,708.93 : x
  2. Step 2: Convert to fraction form
    8,643.45/12,965.24 = 3,708.93/x
  3. Step 3: Cross multiply
    8,643.45x = 12,965.24 × 3,708.93
  4. Step 4: Simplify right side
    8,643.45x = 48,087,149.05
  5. Step 5: Solve for x
    x = 48,087,149.05/8,643.45
  6. Step 6: Final answer
    x = 5,563.42

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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.