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Finding the Fourth Proportional to 8,213.94, 12,317.94 and 5,089.14

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Solution

The fourth proportional to 8,213.94, 12,317.94 and 5,089.14 is: 7,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.94 : 12,317.94 = 5,089.14 : x
  2. Step 2: Convert to fraction form
    8,213.94/12,317.94 = 5,089.14/x
  3. Step 3: Cross multiply
    8,213.94x = 12,317.94 × 5,089.14
  4. Step 4: Simplify right side
    8,213.94x = 62,687,721.17
  5. Step 5: Solve for x
    x = 62,687,721.17/8,213.94
  6. Step 6: Final answer
    x = 7,631.87

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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.