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Finding the Fourth Proportional to 8,643.38, 12,965.06 and 4,943.01

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Solution

The fourth proportional to 8,643.38, 12,965.06 and 4,943.01 is: 7,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.38 : 12,965.06 = 4,943.01 : x
  2. Step 2: Convert to fraction form
    8,643.38/12,965.06 = 4,943.01/x
  3. Step 3: Cross multiply
    8,643.38x = 12,965.06 × 4,943.01
  4. Step 4: Simplify right side
    8,643.38x = 64,086,433.59
  5. Step 5: Solve for x
    x = 64,086,433.59/8,643.38
  6. Step 6: Final answer
    x = 7,414.51

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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.