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Finding the Fourth Proportional to 8,643.51, 12,966.89 and 3,449.43

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Solution

The fourth proportional to 8,643.51, 12,966.89 and 3,449.43 is: 5,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.51 : 12,966.89 = 3,449.43 : x
  2. Step 2: Convert to fraction form
    8,643.51/12,966.89 = 3,449.43/x
  3. Step 3: Cross multiply
    8,643.51x = 12,966.89 × 3,449.43
  4. Step 4: Simplify right side
    8,643.51x = 44,728,362.13
  5. Step 5: Solve for x
    x = 44,728,362.13/8,643.51
  6. Step 6: Final answer
    x = 5,174.79

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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.