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Finding the Fourth Proportional to 7,694.76, 11,538 and 3,987.80

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Solution

The fourth proportional to 7,694.76, 11,538 and 3,987.80 is: 5,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.76 : 11,538 = 3,987.80 : x
  2. Step 2: Convert to fraction form
    7,694.76/11,538 = 3,987.80/x
  3. Step 3: Cross multiply
    7,694.76x = 11,538 × 3,987.80
  4. Step 4: Simplify right side
    7,694.76x = 46,011,178.71
  5. Step 5: Solve for x
    x = 46,011,178.71/7,694.76
  6. Step 6: Final answer
    x = 5,979.55

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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.