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Finding the Fourth Proportional to 11,315.80, 16,981.80 and 6,380.20

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Solution

The fourth proportional to 11,315.80, 16,981.80 and 6,380.20 is: 9,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.80 : 16,981.80 = 6,380.20 : x
  2. Step 2: Convert to fraction form
    11,315.80/16,981.80 = 6,380.20/x
  3. Step 3: Cross multiply
    11,315.80x = 16,981.80 × 6,380.20
  4. Step 4: Simplify right side
    11,315.80x = 108,347,280.36
  5. Step 5: Solve for x
    x = 108,347,280.36/11,315.80
  6. Step 6: Final answer
    x = 9,574.87

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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.