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Finding the Fourth Proportional to 2,718.72, 4,077.12 and 986.88

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Solution

The fourth proportional to 2,718.72, 4,077.12 and 986.88 is: 1,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.72 : 4,077.12 = 986.88 : x
  2. Step 2: Convert to fraction form
    2,718.72/4,077.12 = 986.88/x
  3. Step 3: Cross multiply
    2,718.72x = 4,077.12 × 986.88
  4. Step 4: Simplify right side
    2,718.72x = 4,023,628.19
  5. Step 5: Solve for x
    x = 4,023,628.19/2,718.72
  6. Step 6: Final answer
    x = 1,479.97

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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.