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Finding the Fourth Proportional to 21,864.80, 32,789.14 and 7,821.02

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Solution

The fourth proportional to 21,864.80, 32,789.14 and 7,821.02 is: 11,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.80 : 32,789.14 = 7,821.02 : x
  2. Step 2: Convert to fraction form
    21,864.80/32,789.14 = 7,821.02/x
  3. Step 3: Cross multiply
    21,864.80x = 32,789.14 × 7,821.02
  4. Step 4: Simplify right side
    21,864.80x = 256,444,336.22
  5. Step 5: Solve for x
    x = 256,444,336.22/21,864.80
  6. Step 6: Final answer
    x = 11,728.64

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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.