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Finding the Fourth Proportional to 2,718.16, 4,078.60 and 987.60

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Solution

The fourth proportional to 2,718.16, 4,078.60 and 987.60 is: 1,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.16 : 4,078.60 = 987.60 : x
  2. Step 2: Convert to fraction form
    2,718.16/4,078.60 = 987.60/x
  3. Step 3: Cross multiply
    2,718.16x = 4,078.60 × 987.60
  4. Step 4: Simplify right side
    2,718.16x = 4,028,025.36
  5. Step 5: Solve for x
    x = 4,028,025.36/2,718.16
  6. Step 6: Final answer
    x = 1,481.89

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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.