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Finding the Fourth Proportional to 21,622.88, 32,448.75 and 7,582.90

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Solution

The fourth proportional to 21,622.88, 32,448.75 and 7,582.90 is: 11,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.88 : 32,448.75 = 7,582.90 : x
  2. Step 2: Convert to fraction form
    21,622.88/32,448.75 = 7,582.90/x
  3. Step 3: Cross multiply
    21,622.88x = 32,448.75 × 7,582.90
  4. Step 4: Simplify right side
    21,622.88x = 246,055,620.31
  5. Step 5: Solve for x
    x = 246,055,620.31/21,622.88
  6. Step 6: Final answer
    x = 11,379.41

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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.