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Finding the Fourth Proportional to 7,918.75, 11,878.28 and 2,990.71

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Solution

The fourth proportional to 7,918.75, 11,878.28 and 2,990.71 is: 4,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.75 : 11,878.28 = 2,990.71 : x
  2. Step 2: Convert to fraction form
    7,918.75/11,878.28 = 2,990.71/x
  3. Step 3: Cross multiply
    7,918.75x = 11,878.28 × 2,990.71
  4. Step 4: Simplify right side
    7,918.75x = 35,524,490.78
  5. Step 5: Solve for x
    x = 35,524,490.78/7,918.75
  6. Step 6: Final answer
    x = 4,486.12

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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.