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Finding the Fourth Proportional to 8,588.36, 12,882 and 5,123

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Solution

The fourth proportional to 8,588.36, 12,882 and 5,123 is: 7,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.36 : 12,882 = 5,123 : x
  2. Step 2: Convert to fraction form
    8,588.36/12,882 = 5,123/x
  3. Step 3: Cross multiply
    8,588.36x = 12,882 × 5,123
  4. Step 4: Simplify right side
    8,588.36x = 65,994,486
  5. Step 5: Solve for x
    x = 65,994,486/8,588.36
  6. Step 6: Final answer
    x = 7,684.18

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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.