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Finding the Fourth Proportional to 8,657.82, 12,983.84 and 2,813

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Solution

The fourth proportional to 8,657.82, 12,983.84 and 2,813 is: 4,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.82 : 12,983.84 = 2,813 : x
  2. Step 2: Convert to fraction form
    8,657.82/12,983.84 = 2,813/x
  3. Step 3: Cross multiply
    8,657.82x = 12,983.84 × 2,813
  4. Step 4: Simplify right side
    8,657.82x = 36,523,541.92
  5. Step 5: Solve for x
    x = 36,523,541.92/8,657.82
  6. Step 6: Final answer
    x = 4,218.56

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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.