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Finding the Fourth Proportional to 7,918.56, 11,882.43 and 2,987.28

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Solution

The fourth proportional to 7,918.56, 11,882.43 and 2,987.28 is: 4,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.56 : 11,882.43 = 2,987.28 : x
  2. Step 2: Convert to fraction form
    7,918.56/11,882.43 = 2,987.28/x
  3. Step 3: Cross multiply
    7,918.56x = 11,882.43 × 2,987.28
  4. Step 4: Simplify right side
    7,918.56x = 35,496,145.49
  5. Step 5: Solve for x
    x = 35,496,145.49/7,918.56
  6. Step 6: Final answer
    x = 4,482.65

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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.