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Finding the Fourth Proportional to 21,853.80, 32,784.30 and 7,066.44

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Solution

The fourth proportional to 21,853.80, 32,784.30 and 7,066.44 is: 10,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.80 : 32,784.30 = 7,066.44 : x
  2. Step 2: Convert to fraction form
    21,853.80/32,784.30 = 7,066.44/x
  3. Step 3: Cross multiply
    21,853.80x = 32,784.30 × 7,066.44
  4. Step 4: Simplify right side
    21,853.80x = 231,668,288.89
  5. Step 5: Solve for x
    x = 231,668,288.89/21,853.80
  6. Step 6: Final answer
    x = 10,600.82

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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.