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Finding the Fourth Proportional to 21,967.50, 30,315.11 and 11,895.94

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Solution

The fourth proportional to 21,967.50, 30,315.11 and 11,895.94 is: 16,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.50 : 30,315.11 = 11,895.94 : x
  2. Step 2: Convert to fraction form
    21,967.50/30,315.11 = 11,895.94/x
  3. Step 3: Cross multiply
    21,967.50x = 30,315.11 × 11,895.94
  4. Step 4: Simplify right side
    21,967.50x = 360,626,594.39
  5. Step 5: Solve for x
    x = 360,626,594.39/21,967.50
  6. Step 6: Final answer
    x = 16,416.37

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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.