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Finding the Fourth Proportional to 21,478.08, 32,230.08 and 7,626

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Solution

The fourth proportional to 21,478.08, 32,230.08 and 7,626 is: 11,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.08 : 32,230.08 = 7,626 : x
  2. Step 2: Convert to fraction form
    21,478.08/32,230.08 = 7,626/x
  3. Step 3: Cross multiply
    21,478.08x = 32,230.08 × 7,626
  4. Step 4: Simplify right side
    21,478.08x = 245,786,590.08
  5. Step 5: Solve for x
    x = 245,786,590.08/21,478.08
  6. Step 6: Final answer
    x = 11,443.60

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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.