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Finding the Fourth Proportional to 8,426.88, 12,643.20 and 4,320

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Solution

The fourth proportional to 8,426.88, 12,643.20 and 4,320 is: 6,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.88 : 12,643.20 = 4,320 : x
  2. Step 2: Convert to fraction form
    8,426.88/12,643.20 = 4,320/x
  3. Step 3: Cross multiply
    8,426.88x = 12,643.20 × 4,320
  4. Step 4: Simplify right side
    8,426.88x = 54,618,624
  5. Step 5: Solve for x
    x = 54,618,624/8,426.88
  6. Step 6: Final answer
    x = 6,481.48

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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.