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Finding the Fourth Proportional to 2,111.13, 3,167 and 812.90

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Solution

The fourth proportional to 2,111.13, 3,167 and 812.90 is: 1,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.13 : 3,167 = 812.90 : x
  2. Step 2: Convert to fraction form
    2,111.13/3,167 = 812.90/x
  3. Step 3: Cross multiply
    2,111.13x = 3,167 × 812.90
  4. Step 4: Simplify right side
    2,111.13x = 2,574,454.30
  5. Step 5: Solve for x
    x = 2,574,454.30/2,111.13
  6. Step 6: Final answer
    x = 1,219.47

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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.