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Finding the Fourth Proportional to 2,118.78, 3,178.62 and 658.08

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Solution

The fourth proportional to 2,118.78, 3,178.62 and 658.08 is: 987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.78 : 3,178.62 = 658.08 : x
  2. Step 2: Convert to fraction form
    2,118.78/3,178.62 = 658.08/x
  3. Step 3: Cross multiply
    2,118.78x = 3,178.62 × 658.08
  4. Step 4: Simplify right side
    2,118.78x = 2,091,786.25
  5. Step 5: Solve for x
    x = 2,091,786.25/2,118.78
  6. Step 6: Final answer
    x = 987.26

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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.