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Finding the Fourth Proportional to 15,841.78, 21,861.33 and 8,767.78

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Solution

The fourth proportional to 15,841.78, 21,861.33 and 8,767.78 is: 12,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.78 : 21,861.33 = 8,767.78 : x
  2. Step 2: Convert to fraction form
    15,841.78/21,861.33 = 8,767.78/x
  3. Step 3: Cross multiply
    15,841.78x = 21,861.33 × 8,767.78
  4. Step 4: Simplify right side
    15,841.78x = 191,675,331.95
  5. Step 5: Solve for x
    x = 191,675,331.95/15,841.78
  6. Step 6: Final answer
    x = 12,099.36

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1.5x scale

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.