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Finding the Fourth Proportional to 6,138.91, 9,201.23 and 3,508.26

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Solution

The fourth proportional to 6,138.91, 9,201.23 and 3,508.26 is: 5,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.91 : 9,201.23 = 3,508.26 : x
  2. Step 2: Convert to fraction form
    6,138.91/9,201.23 = 3,508.26/x
  3. Step 3: Cross multiply
    6,138.91x = 9,201.23 × 3,508.26
  4. Step 4: Simplify right side
    6,138.91x = 32,280,307.16
  5. Step 5: Solve for x
    x = 32,280,307.16/6,138.91
  6. Step 6: Final answer
    x = 5,258.31

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1.5x scale

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.