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Finding the Fourth Proportional to 21,260.84, 31,867.92 and 8,774.42

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Solution

The fourth proportional to 21,260.84, 31,867.92 and 8,774.42 is: 13,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,260.84 : 31,867.92 = 8,774.42 : x
  2. Step 2: Convert to fraction form
    21,260.84/31,867.92 = 8,774.42/x
  3. Step 3: Cross multiply
    21,260.84x = 31,867.92 × 8,774.42
  4. Step 4: Simplify right side
    21,260.84x = 279,622,355.27
  5. Step 5: Solve for x
    x = 279,622,355.27/21,260.84
  6. Step 6: Final answer
    x = 13,151.99

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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.