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Finding the Fourth Proportional to 21,993.30, 32,984.87 and 13,111.11

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Solution

The fourth proportional to 21,993.30, 32,984.87 and 13,111.11 is: 19,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.30 : 32,984.87 = 13,111.11 : x
  2. Step 2: Convert to fraction form
    21,993.30/32,984.87 = 13,111.11/x
  3. Step 3: Cross multiply
    21,993.30x = 32,984.87 × 13,111.11
  4. Step 4: Simplify right side
    21,993.30x = 432,468,193.35
  5. Step 5: Solve for x
    x = 432,468,193.35/21,993.30
  6. Step 6: Final answer
    x = 19,663.63

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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.