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Finding the Fourth Proportional to 2,266.41, 3,396.72 and 1,972.71

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Solution

The fourth proportional to 2,266.41, 3,396.72 and 1,972.71 is: 2,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.41 : 3,396.72 = 1,972.71 : x
  2. Step 2: Convert to fraction form
    2,266.41/3,396.72 = 1,972.71/x
  3. Step 3: Cross multiply
    2,266.41x = 3,396.72 × 1,972.71
  4. Step 4: Simplify right side
    2,266.41x = 6,700,743.51
  5. Step 5: Solve for x
    x = 6,700,743.51/2,266.41
  6. Step 6: Final answer
    x = 2,956.55

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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.