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Finding the Fourth Proportional to 10,940.29, 15,092.43 and 6,461.05

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Solution

The fourth proportional to 10,940.29, 15,092.43 and 6,461.05 is: 8,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.29 : 15,092.43 = 6,461.05 : x
  2. Step 2: Convert to fraction form
    10,940.29/15,092.43 = 6,461.05/x
  3. Step 3: Cross multiply
    10,940.29x = 15,092.43 × 6,461.05
  4. Step 4: Simplify right side
    10,940.29x = 97,512,944.85
  5. Step 5: Solve for x
    x = 97,512,944.85/10,940.29
  6. Step 6: Final answer
    x = 8,913.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.