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Finding the Fourth Proportional to 12,511, 18,773.70 and 5,585.68

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Solution

The fourth proportional to 12,511, 18,773.70 and 5,585.68 is: 8,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511 : 18,773.70 = 5,585.68 : x
  2. Step 2: Convert to fraction form
    12,511/18,773.70 = 5,585.68/x
  3. Step 3: Cross multiply
    12,511x = 18,773.70 × 5,585.68
  4. Step 4: Simplify right side
    12,511x = 104,863,880.62
  5. Step 5: Solve for x
    x = 104,863,880.62/12,511
  6. Step 6: Final answer
    x = 8,381.73

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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.