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Finding the Fourth Proportional to 21,382.28, 32,078.28 and 9,698.84

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Solution

The fourth proportional to 21,382.28, 32,078.28 and 9,698.84 is: 14,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.28 : 32,078.28 = 9,698.84 : x
  2. Step 2: Convert to fraction form
    21,382.28/32,078.28 = 9,698.84/x
  3. Step 3: Cross multiply
    21,382.28x = 32,078.28 × 9,698.84
  4. Step 4: Simplify right side
    21,382.28x = 311,122,105.20
  5. Step 5: Solve for x
    x = 311,122,105.20/21,382.28
  6. Step 6: Final answer
    x = 14,550.46

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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.