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Finding the Fourth Proportional to 2,111.57, 3,167.96 and 650.93

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Solution

The fourth proportional to 2,111.57, 3,167.96 and 650.93 is: 976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.57 : 3,167.96 = 650.93 : x
  2. Step 2: Convert to fraction form
    2,111.57/3,167.96 = 650.93/x
  3. Step 3: Cross multiply
    2,111.57x = 3,167.96 × 650.93
  4. Step 4: Simplify right side
    2,111.57x = 2,062,101.11
  5. Step 5: Solve for x
    x = 2,062,101.11/2,111.57
  6. Step 6: Final answer
    x = 976.57

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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.