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Finding the Fourth Proportional to 5,773.78, 7,967.78 and 3,121.16

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Solution

The fourth proportional to 5,773.78, 7,967.78 and 3,121.16 is: 4,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.78 : 7,967.78 = 3,121.16 : x
  2. Step 2: Convert to fraction form
    5,773.78/7,967.78 = 3,121.16/x
  3. Step 3: Cross multiply
    5,773.78x = 7,967.78 × 3,121.16
  4. Step 4: Simplify right side
    5,773.78x = 24,868,716.22
  5. Step 5: Solve for x
    x = 24,868,716.22/5,773.78
  6. Step 6: Final answer
    x = 4,307.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.