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Finding the Fourth Proportional to 6,821.61, 10,232.41 and 2,438.80

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Solution

The fourth proportional to 6,821.61, 10,232.41 and 2,438.80 is: 3,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.61 : 10,232.41 = 2,438.80 : x
  2. Step 2: Convert to fraction form
    6,821.61/10,232.41 = 2,438.80/x
  3. Step 3: Cross multiply
    6,821.61x = 10,232.41 × 2,438.80
  4. Step 4: Simplify right side
    6,821.61x = 24,954,769.83
  5. Step 5: Solve for x
    x = 24,954,769.83/6,821.61
  6. Step 6: Final answer
    x = 3,658.20

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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.