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Finding the Fourth Proportional to 4,843.11, 7,258.28 and 1,919.82

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Solution

The fourth proportional to 4,843.11, 7,258.28 and 1,919.82 is: 2,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.11 : 7,258.28 = 1,919.82 : x
  2. Step 2: Convert to fraction form
    4,843.11/7,258.28 = 1,919.82/x
  3. Step 3: Cross multiply
    4,843.11x = 7,258.28 × 1,919.82
  4. Step 4: Simplify right side
    4,843.11x = 13,934,581.51
  5. Step 5: Solve for x
    x = 13,934,581.51/4,843.11
  6. Step 6: Final answer
    x = 2,877.20

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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.