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Finding the Fourth Proportional to 5,778.24, 8,666.42 and 2,658.12

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Solution

The fourth proportional to 5,778.24, 8,666.42 and 2,658.12 is: 3,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.24 : 8,666.42 = 2,658.12 : x
  2. Step 2: Convert to fraction form
    5,778.24/8,666.42 = 2,658.12/x
  3. Step 3: Cross multiply
    5,778.24x = 8,666.42 × 2,658.12
  4. Step 4: Simplify right side
    5,778.24x = 23,036,384.33
  5. Step 5: Solve for x
    x = 23,036,384.33/5,778.24
  6. Step 6: Final answer
    x = 3,986.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.