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Finding the Fourth Proportional to 5,559.86, 8,342 and 2,438.20

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Solution

The fourth proportional to 5,559.86, 8,342 and 2,438.20 is: 3,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,559.86 : 8,342 = 2,438.20 : x
  2. Step 2: Convert to fraction form
    5,559.86/8,342 = 2,438.20/x
  3. Step 3: Cross multiply
    5,559.86x = 8,342 × 2,438.20
  4. Step 4: Simplify right side
    5,559.86x = 20,339,464.40
  5. Step 5: Solve for x
    x = 20,339,464.40/5,559.86
  6. Step 6: Final answer
    x = 3,658.27

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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.