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Finding the Fourth Proportional to 2,718, 4,077.20 and 1,992.16

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Solution

The fourth proportional to 2,718, 4,077.20 and 1,992.16 is: 2,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718 : 4,077.20 = 1,992.16 : x
  2. Step 2: Convert to fraction form
    2,718/4,077.20 = 1,992.16/x
  3. Step 3: Cross multiply
    2,718x = 4,077.20 × 1,992.16
  4. Step 4: Simplify right side
    2,718x = 8,122,434.75
  5. Step 5: Solve for x
    x = 8,122,434.75/2,718
  6. Step 6: Final answer
    x = 2,988.39

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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.