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Finding the Fourth Proportional to 21,950, 30,291.36 and 12,523.76

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Solution

The fourth proportional to 21,950, 30,291.36 and 12,523.76 is: 17,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,950 : 30,291.36 = 12,523.76 : x
  2. Step 2: Convert to fraction form
    21,950/30,291.36 = 12,523.76/x
  3. Step 3: Cross multiply
    21,950x = 30,291.36 × 12,523.76
  4. Step 4: Simplify right side
    21,950x = 379,361,722.71
  5. Step 5: Solve for x
    x = 379,361,722.71/21,950
  6. Step 6: Final answer
    x = 17,282.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.