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Finding the Fourth Proportional to 5,678.16, 7,833.66 and 3,438.54

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Solution

The fourth proportional to 5,678.16, 7,833.66 and 3,438.54 is: 4,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.16 : 7,833.66 = 3,438.54 : x
  2. Step 2: Convert to fraction form
    5,678.16/7,833.66 = 3,438.54/x
  3. Step 3: Cross multiply
    5,678.16x = 7,833.66 × 3,438.54
  4. Step 4: Simplify right side
    5,678.16x = 26,936,353.26
  5. Step 5: Solve for x
    x = 26,936,353.26/5,678.16
  6. Step 6: Final answer
    x = 4,743.85

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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.