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Finding the Fourth Proportional to 7,013.76, 9,678.51 and 3,870

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Solution

The fourth proportional to 7,013.76, 9,678.51 and 3,870 is: 5,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.76 : 9,678.51 = 3,870 : x
  2. Step 2: Convert to fraction form
    7,013.76/9,678.51 = 3,870/x
  3. Step 3: Cross multiply
    7,013.76x = 9,678.51 × 3,870
  4. Step 4: Simplify right side
    7,013.76x = 37,455,833.70
  5. Step 5: Solve for x
    x = 37,455,833.70/7,013.76
  6. Step 6: Final answer
    x = 5,340.34

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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.