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Finding the Fourth Proportional to 8,311.98, 12,419.28 and 8,021.28

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Solution

The fourth proportional to 8,311.98, 12,419.28 and 8,021.28 is: 11,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.98 : 12,419.28 = 8,021.28 : x
  2. Step 2: Convert to fraction form
    8,311.98/12,419.28 = 8,021.28/x
  3. Step 3: Cross multiply
    8,311.98x = 12,419.28 × 8,021.28
  4. Step 4: Simplify right side
    8,311.98x = 99,618,522.28
  5. Step 5: Solve for x
    x = 99,618,522.28/8,311.98
  6. Step 6: Final answer
    x = 11,984.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.