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Finding the Fourth Proportional to 16,856.76, 25,290.90 and 8,643

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Solution

The fourth proportional to 16,856.76, 25,290.90 and 8,643 is: 12,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.76 : 25,290.90 = 8,643 : x
  2. Step 2: Convert to fraction form
    16,856.76/25,290.90 = 8,643/x
  3. Step 3: Cross multiply
    16,856.76x = 25,290.90 × 8,643
  4. Step 4: Simplify right side
    16,856.76x = 218,589,248.70
  5. Step 5: Solve for x
    x = 218,589,248.70/16,856.76
  6. Step 6: Final answer
    x = 12,967.45

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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.