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Finding the Fourth Proportional to 21,945.80, 32,902.83 and 13,040.01

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Solution

The fourth proportional to 21,945.80, 32,902.83 and 13,040.01 is: 19,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,945.80 : 32,902.83 = 13,040.01 : x
  2. Step 2: Convert to fraction form
    21,945.80/32,902.83 = 13,040.01/x
  3. Step 3: Cross multiply
    21,945.80x = 32,902.83 × 13,040.01
  4. Step 4: Simplify right side
    21,945.80x = 429,053,232.23
  5. Step 5: Solve for x
    x = 429,053,232.23/21,945.80
  6. Step 6: Final answer
    x = 19,550.59

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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.