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Finding the Fourth Proportional to 10,919, 16,378.52 and 2,711

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Solution

The fourth proportional to 10,919, 16,378.52 and 2,711 is: 4,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919 : 16,378.52 = 2,711 : x
  2. Step 2: Convert to fraction form
    10,919/16,378.52 = 2,711/x
  3. Step 3: Cross multiply
    10,919x = 16,378.52 × 2,711
  4. Step 4: Simplify right side
    10,919x = 44,402,167.72
  5. Step 5: Solve for x
    x = 44,402,167.72/10,919
  6. Step 6: Final answer
    x = 4,066.50

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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.