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Finding the Fourth Proportional to 21,494.40, 32,233.92 and 7,640.64

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Solution

The fourth proportional to 21,494.40, 32,233.92 and 7,640.64 is: 11,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.40 : 32,233.92 = 7,640.64 : x
  2. Step 2: Convert to fraction form
    21,494.40/32,233.92 = 7,640.64/x
  3. Step 3: Cross multiply
    21,494.40x = 32,233.92 × 7,640.64
  4. Step 4: Simplify right side
    21,494.40x = 246,287,778.51
  5. Step 5: Solve for x
    x = 246,287,778.51/21,494.40
  6. Step 6: Final answer
    x = 11,458.23

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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.