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Finding the Fourth Proportional to 8,682.72, 12,965.14 and 6,907.87

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Solution

The fourth proportional to 8,682.72, 12,965.14 and 6,907.87 is: 10,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.72 : 12,965.14 = 6,907.87 : x
  2. Step 2: Convert to fraction form
    8,682.72/12,965.14 = 6,907.87/x
  3. Step 3: Cross multiply
    8,682.72x = 12,965.14 × 6,907.87
  4. Step 4: Simplify right side
    8,682.72x = 89,561,501.65
  5. Step 5: Solve for x
    x = 89,561,501.65/8,682.72
  6. Step 6: Final answer
    x = 10,314.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.