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Finding the Fourth Proportional to 21,980.26, 32,983.38 and 8,138.98

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Solution

The fourth proportional to 21,980.26, 32,983.38 and 8,138.98 is: 12,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.26 : 32,983.38 = 8,138.98 : x
  2. Step 2: Convert to fraction form
    21,980.26/32,983.38 = 8,138.98/x
  3. Step 3: Cross multiply
    21,980.26x = 32,983.38 × 8,138.98
  4. Step 4: Simplify right side
    21,980.26x = 268,451,070.15
  5. Step 5: Solve for x
    x = 268,451,070.15/21,980.26
  6. Step 6: Final answer
    x = 12,213.28

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1.5x scale

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.