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Finding the Fourth Proportional to 21,506.80, 32,272.48 and 8,357.48

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Solution

The fourth proportional to 21,506.80, 32,272.48 and 8,357.48 is: 12,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.80 : 32,272.48 = 8,357.48 : x
  2. Step 2: Convert to fraction form
    21,506.80/32,272.48 = 8,357.48/x
  3. Step 3: Cross multiply
    21,506.80x = 32,272.48 × 8,357.48
  4. Step 4: Simplify right side
    21,506.80x = 269,716,606.15
  5. Step 5: Solve for x
    x = 269,716,606.15/21,506.80
  6. Step 6: Final answer
    x = 12,540.99

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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.