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Finding the Fourth Proportional to 6,438.62, 9,658.50 and 2,542.10

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Solution

The fourth proportional to 6,438.62, 9,658.50 and 2,542.10 is: 3,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.62 : 9,658.50 = 2,542.10 : x
  2. Step 2: Convert to fraction form
    6,438.62/9,658.50 = 2,542.10/x
  3. Step 3: Cross multiply
    6,438.62x = 9,658.50 × 2,542.10
  4. Step 4: Simplify right side
    6,438.62x = 24,552,872.85
  5. Step 5: Solve for x
    x = 24,552,872.85/6,438.62
  6. Step 6: Final answer
    x = 3,813.38

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1.5x scale

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.