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Finding the Fourth Proportional to 15,771.62, 21,764.84 and 8,698.49

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Solution

The fourth proportional to 15,771.62, 21,764.84 and 8,698.49 is: 12,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.62 : 21,764.84 = 8,698.49 : x
  2. Step 2: Convert to fraction form
    15,771.62/21,764.84 = 8,698.49/x
  3. Step 3: Cross multiply
    15,771.62x = 21,764.84 × 8,698.49
  4. Step 4: Simplify right side
    15,771.62x = 189,321,254.01
  5. Step 5: Solve for x
    x = 189,321,254.01/15,771.62
  6. Step 6: Final answer
    x = 12,003.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.