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Finding the Fourth Proportional to 2,655.44, 3,983.18 and 925.28

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Solution

The fourth proportional to 2,655.44, 3,983.18 and 925.28 is: 1,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.44 : 3,983.18 = 925.28 : x
  2. Step 2: Convert to fraction form
    2,655.44/3,983.18 = 925.28/x
  3. Step 3: Cross multiply
    2,655.44x = 3,983.18 × 925.28
  4. Step 4: Simplify right side
    2,655.44x = 3,685,556.79
  5. Step 5: Solve for x
    x = 3,685,556.79/2,655.44
  6. Step 6: Final answer
    x = 1,387.93

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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.