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Finding the Fourth Proportional to 21,801.65, 32,697.61 and 8,650.49

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Solution

The fourth proportional to 21,801.65, 32,697.61 and 8,650.49 is: 12,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,801.65 : 32,697.61 = 8,650.49 : x
  2. Step 2: Convert to fraction form
    21,801.65/32,697.61 = 8,650.49/x
  3. Step 3: Cross multiply
    21,801.65x = 32,697.61 × 8,650.49
  4. Step 4: Simplify right side
    21,801.65x = 282,850,163.21
  5. Step 5: Solve for x
    x = 282,850,163.21/21,801.65
  6. Step 6: Final answer
    x = 12,973.80

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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.