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Finding the Fourth Proportional to 6,669, 9,203.22 and 3,876.12

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Solution

The fourth proportional to 6,669, 9,203.22 and 3,876.12 is: 5,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669 : 9,203.22 = 3,876.12 : x
  2. Step 2: Convert to fraction form
    6,669/9,203.22 = 3,876.12/x
  3. Step 3: Cross multiply
    6,669x = 9,203.22 × 3,876.12
  4. Step 4: Simplify right side
    6,669x = 35,672,785.11
  5. Step 5: Solve for x
    x = 35,672,785.11/6,669
  6. Step 6: Final answer
    x = 5,349.05

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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.