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Finding the Fourth Proportional to 7,917, 11,873.70 and 2,987.16

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Solution

The fourth proportional to 7,917, 11,873.70 and 2,987.16 is: 4,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917 : 11,873.70 = 2,987.16 : x
  2. Step 2: Convert to fraction form
    7,917/11,873.70 = 2,987.16/x
  3. Step 3: Cross multiply
    7,917x = 11,873.70 × 2,987.16
  4. Step 4: Simplify right side
    7,917x = 35,468,641.69
  5. Step 5: Solve for x
    x = 35,468,641.69/7,917
  6. Step 6: Final answer
    x = 4,480.06

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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.