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Finding the Fourth Proportional to 2,365.96, 3,264.78 and 1,578.64

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Solution

The fourth proportional to 2,365.96, 3,264.78 and 1,578.64 is: 2,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.96 : 3,264.78 = 1,578.64 : x
  2. Step 2: Convert to fraction form
    2,365.96/3,264.78 = 1,578.64/x
  3. Step 3: Cross multiply
    2,365.96x = 3,264.78 × 1,578.64
  4. Step 4: Simplify right side
    2,365.96x = 5,153,912.30
  5. Step 5: Solve for x
    x = 5,153,912.30/2,365.96
  6. Step 6: Final answer
    x = 2,178.36

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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.