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Finding the Fourth Proportional to 6,641.40, 9,961.76 and 2,258.94

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Solution

The fourth proportional to 6,641.40, 9,961.76 and 2,258.94 is: 3,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.40 : 9,961.76 = 2,258.94 : x
  2. Step 2: Convert to fraction form
    6,641.40/9,961.76 = 2,258.94/x
  3. Step 3: Cross multiply
    6,641.40x = 9,961.76 × 2,258.94
  4. Step 4: Simplify right side
    6,641.40x = 22,503,018.13
  5. Step 5: Solve for x
    x = 22,503,018.13/6,641.40
  6. Step 6: Final answer
    x = 3,388.29

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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.