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Finding the Fourth Proportional to 2,366.78, 3,266.15 and 1,372.64

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Solution

The fourth proportional to 2,366.78, 3,266.15 and 1,372.64 is: 1,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.78 : 3,266.15 = 1,372.64 : x
  2. Step 2: Convert to fraction form
    2,366.78/3,266.15 = 1,372.64/x
  3. Step 3: Cross multiply
    2,366.78x = 3,266.15 × 1,372.64
  4. Step 4: Simplify right side
    2,366.78x = 4,483,231.81
  5. Step 5: Solve for x
    x = 4,483,231.81/2,366.78
  6. Step 6: Final answer
    x = 1,894.23

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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.