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Finding the Fourth Proportional to 2,718.82, 4,077.99 and 987.46

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Solution

The fourth proportional to 2,718.82, 4,077.99 and 987.46 is: 1,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.82 : 4,077.99 = 987.46 : x
  2. Step 2: Convert to fraction form
    2,718.82/4,077.99 = 987.46/x
  3. Step 3: Cross multiply
    2,718.82x = 4,077.99 × 987.46
  4. Step 4: Simplify right side
    2,718.82x = 4,026,852.01
  5. Step 5: Solve for x
    x = 4,026,852.01/2,718.82
  6. Step 6: Final answer
    x = 1,481.10

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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.