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Finding the Fourth Proportional to 5,211.66, 7,812.01 and 1,922.66

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Solution

The fourth proportional to 5,211.66, 7,812.01 and 1,922.66 is: 2,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.66 : 7,812.01 = 1,922.66 : x
  2. Step 2: Convert to fraction form
    5,211.66/7,812.01 = 1,922.66/x
  3. Step 3: Cross multiply
    5,211.66x = 7,812.01 × 1,922.66
  4. Step 4: Simplify right side
    5,211.66x = 15,019,839.15
  5. Step 5: Solve for x
    x = 15,019,839.15/5,211.66
  6. Step 6: Final answer
    x = 2,881.97

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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.