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Finding the Fourth Proportional to 8,783.66, 13,176.17 and 2,543.77

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Solution

The fourth proportional to 8,783.66, 13,176.17 and 2,543.77 is: 3,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.66 : 13,176.17 = 2,543.77 : x
  2. Step 2: Convert to fraction form
    8,783.66/13,176.17 = 2,543.77/x
  3. Step 3: Cross multiply
    8,783.66x = 13,176.17 × 2,543.77
  4. Step 4: Simplify right side
    8,783.66x = 33,517,119.38
  5. Step 5: Solve for x
    x = 33,517,119.38/8,783.66
  6. Step 6: Final answer
    x = 3,815.85

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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.