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Finding the Fourth Proportional to 12,590.91, 18,889.08 and 3,826.53

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Solution

The fourth proportional to 12,590.91, 18,889.08 and 3,826.53 is: 5,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.91 : 18,889.08 = 3,826.53 : x
  2. Step 2: Convert to fraction form
    12,590.91/18,889.08 = 3,826.53/x
  3. Step 3: Cross multiply
    12,590.91x = 18,889.08 × 3,826.53
  4. Step 4: Simplify right side
    12,590.91x = 72,279,631.29
  5. Step 5: Solve for x
    x = 72,279,631.29/12,590.91
  6. Step 6: Final answer
    x = 5,740.62

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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.