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Finding the Fourth Proportional to 4,919, 6,788.22 and 2,711

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Solution

The fourth proportional to 4,919, 6,788.22 and 2,711 is: 3,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919 : 6,788.22 = 2,711 : x
  2. Step 2: Convert to fraction form
    4,919/6,788.22 = 2,711/x
  3. Step 3: Cross multiply
    4,919x = 6,788.22 × 2,711
  4. Step 4: Simplify right side
    4,919x = 18,402,864.42
  5. Step 5: Solve for x
    x = 18,402,864.42/4,919
  6. Step 6: Final answer
    x = 3,741.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.