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Finding the Fourth Proportional to 3,711, 5,543.16 and 2,715

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Solution

The fourth proportional to 3,711, 5,543.16 and 2,715 is: 4,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711 : 5,543.16 = 2,715 : x
  2. Step 2: Convert to fraction form
    3,711/5,543.16 = 2,715/x
  3. Step 3: Cross multiply
    3,711x = 5,543.16 × 2,715
  4. Step 4: Simplify right side
    3,711x = 15,049,679.40
  5. Step 5: Solve for x
    x = 15,049,679.40/3,711
  6. Step 6: Final answer
    x = 4,055.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.