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Finding the Fourth Proportional to 8,664.70, 12,974.91 and 4,764.82

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Solution

The fourth proportional to 8,664.70, 12,974.91 and 4,764.82 is: 7,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.70 : 12,974.91 = 4,764.82 : x
  2. Step 2: Convert to fraction form
    8,664.70/12,974.91 = 4,764.82/x
  3. Step 3: Cross multiply
    8,664.70x = 12,974.91 × 4,764.82
  4. Step 4: Simplify right side
    8,664.70x = 61,823,110.67
  5. Step 5: Solve for x
    x = 61,823,110.67/8,664.70
  6. Step 6: Final answer
    x = 7,135.05

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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.