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Finding the Fourth Proportional to 3,258.05, 4,887.05 and 792.81

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Solution

The fourth proportional to 3,258.05, 4,887.05 and 792.81 is: 1,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.05 : 4,887.05 = 792.81 : x
  2. Step 2: Convert to fraction form
    3,258.05/4,887.05 = 792.81/x
  3. Step 3: Cross multiply
    3,258.05x = 4,887.05 × 792.81
  4. Step 4: Simplify right side
    3,258.05x = 3,874,498.15
  5. Step 5: Solve for x
    x = 3,874,498.15/3,258.05
  6. Step 6: Final answer
    x = 1,189.21

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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.