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Finding the Fourth Proportional to 21,444, 32,158.09 and 7,400.44

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Solution

The fourth proportional to 21,444, 32,158.09 and 7,400.44 is: 11,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,444 : 32,158.09 = 7,400.44 : x
  2. Step 2: Convert to fraction form
    21,444/32,158.09 = 7,400.44/x
  3. Step 3: Cross multiply
    21,444x = 32,158.09 × 7,400.44
  4. Step 4: Simplify right side
    21,444x = 237,984,015.56
  5. Step 5: Solve for x
    x = 237,984,015.56/21,444
  6. Step 6: Final answer
    x = 11,097.93

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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.