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Finding the Fourth Proportional to 21,786.91, 32,686.03 and 6,205.75

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Solution

The fourth proportional to 21,786.91, 32,686.03 and 6,205.75 is: 9,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.91 : 32,686.03 = 6,205.75 : x
  2. Step 2: Convert to fraction form
    21,786.91/32,686.03 = 6,205.75/x
  3. Step 3: Cross multiply
    21,786.91x = 32,686.03 × 6,205.75
  4. Step 4: Simplify right side
    21,786.91x = 202,841,256.71
  5. Step 5: Solve for x
    x = 202,841,256.71/21,786.91
  6. Step 6: Final answer
    x = 9,310.24

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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.