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Finding the Fourth Proportional to 21,772.24, 32,655.29 and 6,979.24

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Solution

The fourth proportional to 21,772.24, 32,655.29 and 6,979.24 is: 10,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.24 : 32,655.29 = 6,979.24 : x
  2. Step 2: Convert to fraction form
    21,772.24/32,655.29 = 6,979.24/x
  3. Step 3: Cross multiply
    21,772.24x = 32,655.29 × 6,979.24
  4. Step 4: Simplify right side
    21,772.24x = 227,909,106.18
  5. Step 5: Solve for x
    x = 227,909,106.18/21,772.24
  6. Step 6: Final answer
    x = 10,467.88

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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.