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Finding the Fourth Proportional to 21,104.16, 31,657.74 and 6,311.88

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Solution

The fourth proportional to 21,104.16, 31,657.74 and 6,311.88 is: 9,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.16 : 31,657.74 = 6,311.88 : x
  2. Step 2: Convert to fraction form
    21,104.16/31,657.74 = 6,311.88/x
  3. Step 3: Cross multiply
    21,104.16x = 31,657.74 × 6,311.88
  4. Step 4: Simplify right side
    21,104.16x = 199,819,855.95
  5. Step 5: Solve for x
    x = 199,819,855.95/21,104.16
  6. Step 6: Final answer
    x = 9,468.27

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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.