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Finding the Fourth Proportional to 8,711.78, 13,069.38 and 3,165.30

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Solution

The fourth proportional to 8,711.78, 13,069.38 and 3,165.30 is: 4,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.78 : 13,069.38 = 3,165.30 : x
  2. Step 2: Convert to fraction form
    8,711.78/13,069.38 = 3,165.30/x
  3. Step 3: Cross multiply
    8,711.78x = 13,069.38 × 3,165.30
  4. Step 4: Simplify right side
    8,711.78x = 41,368,508.51
  5. Step 5: Solve for x
    x = 41,368,508.51/8,711.78
  6. Step 6: Final answer
    x = 4,748.57

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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.