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Finding the Fourth Proportional to 8,689.65, 13,034.43 and 2,115.84

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Solution

The fourth proportional to 8,689.65, 13,034.43 and 2,115.84 is: 3,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.65 : 13,034.43 = 2,115.84 : x
  2. Step 2: Convert to fraction form
    8,689.65/13,034.43 = 2,115.84/x
  3. Step 3: Cross multiply
    8,689.65x = 13,034.43 × 2,115.84
  4. Step 4: Simplify right side
    8,689.65x = 27,578,768.37
  5. Step 5: Solve for x
    x = 27,578,768.37/8,689.65
  6. Step 6: Final answer
    x = 3,173.75

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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.