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Finding the Fourth Proportional to 21,853.24, 32,780 and 8,708.92

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Solution

The fourth proportional to 21,853.24, 32,780 and 8,708.92 is: 13,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.24 : 32,780 = 8,708.92 : x
  2. Step 2: Convert to fraction form
    21,853.24/32,780 = 8,708.92/x
  3. Step 3: Cross multiply
    21,853.24x = 32,780 × 8,708.92
  4. Step 4: Simplify right side
    21,853.24x = 285,478,397.60
  5. Step 5: Solve for x
    x = 285,478,397.60/21,853.24
  6. Step 6: Final answer
    x = 13,063.44

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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.