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Finding the Fourth Proportional to 5,696.13, 7,860.67 and 3,143.83

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Solution

The fourth proportional to 5,696.13, 7,860.67 and 3,143.83 is: 4,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.13 : 7,860.67 = 3,143.83 : x
  2. Step 2: Convert to fraction form
    5,696.13/7,860.67 = 3,143.83/x
  3. Step 3: Cross multiply
    5,696.13x = 7,860.67 × 3,143.83
  4. Step 4: Simplify right side
    5,696.13x = 24,712,610.17
  5. Step 5: Solve for x
    x = 24,712,610.17/5,696.13
  6. Step 6: Final answer
    x = 4,338.49

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