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Finding the Fourth Proportional to 21,873.71, 32,815.80 and 7,082.64

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Solution

The fourth proportional to 21,873.71, 32,815.80 and 7,082.64 is: 10,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.71 : 32,815.80 = 7,082.64 : x
  2. Step 2: Convert to fraction form
    21,873.71/32,815.80 = 7,082.64/x
  3. Step 3: Cross multiply
    21,873.71x = 32,815.80 × 7,082.64
  4. Step 4: Simplify right side
    21,873.71x = 232,422,497.71
  5. Step 5: Solve for x
    x = 232,422,497.71/21,873.71
  6. Step 6: Final answer
    x = 10,625.65

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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.