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Finding the Fourth Proportional to 2,711, 4,066.70 and 1,172

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Solution

The fourth proportional to 2,711, 4,066.70 and 1,172 is: 1,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711 : 4,066.70 = 1,172 : x
  2. Step 2: Convert to fraction form
    2,711/4,066.70 = 1,172/x
  3. Step 3: Cross multiply
    2,711x = 4,066.70 × 1,172
  4. Step 4: Simplify right side
    2,711x = 4,766,172.40
  5. Step 5: Solve for x
    x = 4,766,172.40/2,711
  6. Step 6: Final answer
    x = 1,758.09

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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.