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Finding the Fourth Proportional to 3,711, 5,119.74 and 2,367.12

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Solution

The fourth proportional to 3,711, 5,119.74 and 2,367.12 is: 3,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711 : 5,119.74 = 2,367.12 : x
  2. Step 2: Convert to fraction form
    3,711/5,119.74 = 2,367.12/x
  3. Step 3: Cross multiply
    3,711x = 5,119.74 × 2,367.12
  4. Step 4: Simplify right side
    3,711x = 12,119,038.95
  5. Step 5: Solve for x
    x = 12,119,038.95/3,711
  6. Step 6: Final answer
    x = 3,265.71

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1.5x scale

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.