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Finding the Fourth Proportional to 9,884.05, 13,640.18 and 5,407.78

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Solution

The fourth proportional to 9,884.05, 13,640.18 and 5,407.78 is: 7,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.05 : 13,640.18 = 5,407.78 : x
  2. Step 2: Convert to fraction form
    9,884.05/13,640.18 = 5,407.78/x
  3. Step 3: Cross multiply
    9,884.05x = 13,640.18 × 5,407.78
  4. Step 4: Simplify right side
    9,884.05x = 73,763,092.60
  5. Step 5: Solve for x
    x = 73,763,092.60/9,884.05
  6. Step 6: Final answer
    x = 7,462.84

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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.