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Finding the Fourth Proportional to 21,720.82, 32,565.28 and 6,921.22

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Solution

The fourth proportional to 21,720.82, 32,565.28 and 6,921.22 is: 10,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720.82 : 32,565.28 = 6,921.22 : x
  2. Step 2: Convert to fraction form
    21,720.82/32,565.28 = 6,921.22/x
  3. Step 3: Cross multiply
    21,720.82x = 32,565.28 × 6,921.22
  4. Step 4: Simplify right side
    21,720.82x = 225,391,467.24
  5. Step 5: Solve for x
    x = 225,391,467.24/21,720.82
  6. Step 6: Final answer
    x = 10,376.75

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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.