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Finding the Fourth Proportional to 2,864.64, 3,952 and 1,745.28

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Solution

The fourth proportional to 2,864.64, 3,952 and 1,745.28 is: 2,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.64 : 3,952 = 1,745.28 : x
  2. Step 2: Convert to fraction form
    2,864.64/3,952 = 1,745.28/x
  3. Step 3: Cross multiply
    2,864.64x = 3,952 × 1,745.28
  4. Step 4: Simplify right side
    2,864.64x = 6,897,346.56
  5. Step 5: Solve for x
    x = 6,897,346.56/2,864.64
  6. Step 6: Final answer
    x = 2,407.75

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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.