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Finding the Fourth Proportional to 12,884.80, 19,330.80 and 6,311.20

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Solution

The fourth proportional to 12,884.80, 19,330.80 and 6,311.20 is: 9,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.80 : 19,330.80 = 6,311.20 : x
  2. Step 2: Convert to fraction form
    12,884.80/19,330.80 = 6,311.20/x
  3. Step 3: Cross multiply
    12,884.80x = 19,330.80 × 6,311.20
  4. Step 4: Simplify right side
    12,884.80x = 122,000,544.96
  5. Step 5: Solve for x
    x = 122,000,544.96/12,884.80
  6. Step 6: Final answer
    x = 9,468.56

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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.