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Finding the Fourth Proportional to 21,661.92, 32,480.73 and 6,868.08

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Solution

The fourth proportional to 21,661.92, 32,480.73 and 6,868.08 is: 10,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.92 : 32,480.73 = 6,868.08 : x
  2. Step 2: Convert to fraction form
    21,661.92/32,480.73 = 6,868.08/x
  3. Step 3: Cross multiply
    21,661.92x = 32,480.73 × 6,868.08
  4. Step 4: Simplify right side
    21,661.92x = 223,080,252.10
  5. Step 5: Solve for x
    x = 223,080,252.10/21,661.92
  6. Step 6: Final answer
    x = 10,298.27

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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.