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Finding the Fourth Proportional to 8,643.92, 12,967.52 and 3,378.69

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Solution

The fourth proportional to 8,643.92, 12,967.52 and 3,378.69 is: 5,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.92 : 12,967.52 = 3,378.69 : x
  2. Step 2: Convert to fraction form
    8,643.92/12,967.52 = 3,378.69/x
  3. Step 3: Cross multiply
    8,643.92x = 12,967.52 × 3,378.69
  4. Step 4: Simplify right side
    8,643.92x = 43,813,213.26
  5. Step 5: Solve for x
    x = 43,813,213.26/8,643.92
  6. Step 6: Final answer
    x = 5,068.68

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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.