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Finding the Fourth Proportional to 21,893.12, 32,846.57 and 7,843.57

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Solution

The fourth proportional to 21,893.12, 32,846.57 and 7,843.57 is: 11,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.12 : 32,846.57 = 7,843.57 : x
  2. Step 2: Convert to fraction form
    21,893.12/32,846.57 = 7,843.57/x
  3. Step 3: Cross multiply
    21,893.12x = 32,846.57 × 7,843.57
  4. Step 4: Simplify right side
    21,893.12x = 257,634,331.84
  5. Step 5: Solve for x
    x = 257,634,331.84/21,893.12
  6. Step 6: Final answer
    x = 11,767.82

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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.