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Finding the Fourth Proportional to 2,111.80, 3,167.75 and 650.95

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Solution

The fourth proportional to 2,111.80, 3,167.75 and 650.95 is: 976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.80 : 3,167.75 = 650.95 : x
  2. Step 2: Convert to fraction form
    2,111.80/3,167.75 = 650.95/x
  3. Step 3: Cross multiply
    2,111.80x = 3,167.75 × 650.95
  4. Step 4: Simplify right side
    2,111.80x = 2,062,053.81
  5. Step 5: Solve for x
    x = 2,062,053.81/2,111.80
  6. Step 6: Final answer
    x = 976.44

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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.