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Finding the Fourth Proportional to 2,665.60, 3,673.92 and 2,512

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Solution

The fourth proportional to 2,665.60, 3,673.92 and 2,512 is: 3,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.60 : 3,673.92 = 2,512 : x
  2. Step 2: Convert to fraction form
    2,665.60/3,673.92 = 2,512/x
  3. Step 3: Cross multiply
    2,665.60x = 3,673.92 × 2,512
  4. Step 4: Simplify right side
    2,665.60x = 9,228,887.04
  5. Step 5: Solve for x
    x = 9,228,887.04/2,665.60
  6. Step 6: Final answer
    x = 3,462.22

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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.