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Finding the Fourth Proportional to 21,884.36, 32,819.65 and 7,089.85

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Solution

The fourth proportional to 21,884.36, 32,819.65 and 7,089.85 is: 10,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.36 : 32,819.65 = 7,089.85 : x
  2. Step 2: Convert to fraction form
    21,884.36/32,819.65 = 7,089.85/x
  3. Step 3: Cross multiply
    21,884.36x = 32,819.65 × 7,089.85
  4. Step 4: Simplify right side
    21,884.36x = 232,686,395.55
  5. Step 5: Solve for x
    x = 232,686,395.55/21,884.36
  6. Step 6: Final answer
    x = 10,632.54

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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.