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Finding the Fourth Proportional to 7,812.95, 11,721.11 and 2,266.54

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Solution

The fourth proportional to 7,812.95, 11,721.11 and 2,266.54 is: 3,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.95 : 11,721.11 = 2,266.54 : x
  2. Step 2: Convert to fraction form
    7,812.95/11,721.11 = 2,266.54/x
  3. Step 3: Cross multiply
    7,812.95x = 11,721.11 × 2,266.54
  4. Step 4: Simplify right side
    7,812.95x = 26,566,324.02
  5. Step 5: Solve for x
    x = 26,566,324.02/7,812.95
  6. Step 6: Final answer
    x = 3,400.30

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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.