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Finding the Fourth Proportional to 20,438.84, 30,658.20 and 5,647.72

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Solution

The fourth proportional to 20,438.84, 30,658.20 and 5,647.72 is: 8,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.84 : 30,658.20 = 5,647.72 : x
  2. Step 2: Convert to fraction form
    20,438.84/30,658.20 = 5,647.72/x
  3. Step 3: Cross multiply
    20,438.84x = 30,658.20 × 5,647.72
  4. Step 4: Simplify right side
    20,438.84x = 173,148,929.30
  5. Step 5: Solve for x
    x = 173,148,929.30/20,438.84
  6. Step 6: Final answer
    x = 8,471.56

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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.