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Finding the Fourth Proportional to 9,101.40, 13,649.60 and 5,764.64

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Solution

The fourth proportional to 9,101.40, 13,649.60 and 5,764.64 is: 8,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.40 : 13,649.60 = 5,764.64 : x
  2. Step 2: Convert to fraction form
    9,101.40/13,649.60 = 5,764.64/x
  3. Step 3: Cross multiply
    9,101.40x = 13,649.60 × 5,764.64
  4. Step 4: Simplify right side
    9,101.40x = 78,685,059.05
  5. Step 5: Solve for x
    x = 78,685,059.05/9,101.40
  6. Step 6: Final answer
    x = 8,645.38

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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.