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Finding the Fourth Proportional to 7,013.88, 9,679.10 and 3,870

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Solution

The fourth proportional to 7,013.88, 9,679.10 and 3,870 is: 5,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.88 : 9,679.10 = 3,870 : x
  2. Step 2: Convert to fraction form
    7,013.88/9,679.10 = 3,870/x
  3. Step 3: Cross multiply
    7,013.88x = 9,679.10 × 3,870
  4. Step 4: Simplify right side
    7,013.88x = 37,458,097.65
  5. Step 5: Solve for x
    x = 37,458,097.65/7,013.88
  6. Step 6: Final answer
    x = 5,340.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.