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Finding the Fourth Proportional to 8,174.38, 12,205.98 and 7,712.41

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Solution

The fourth proportional to 8,174.38, 12,205.98 and 7,712.41 is: 11,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.38 : 12,205.98 = 7,712.41 : x
  2. Step 2: Convert to fraction form
    8,174.38/12,205.98 = 7,712.41/x
  3. Step 3: Cross multiply
    8,174.38x = 12,205.98 × 7,712.41
  4. Step 4: Simplify right side
    8,174.38x = 94,137,522.21
  5. Step 5: Solve for x
    x = 94,137,522.21/8,174.38
  6. Step 6: Final answer
    x = 11,516.17

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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.