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Finding the Fourth Proportional to 3,258.78, 4,877.10 and 1,961.16

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Solution

The fourth proportional to 3,258.78, 4,877.10 and 1,961.16 is: 2,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.78 : 4,877.10 = 1,961.16 : x
  2. Step 2: Convert to fraction form
    3,258.78/4,877.10 = 1,961.16/x
  3. Step 3: Cross multiply
    3,258.78x = 4,877.10 × 1,961.16
  4. Step 4: Simplify right side
    3,258.78x = 9,564,773.44
  5. Step 5: Solve for x
    x = 9,564,773.44/3,258.78
  6. Step 6: Final answer
    x = 2,935.08

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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.