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Finding the Fourth Proportional to 3,360, 5,040 and 3,161.28

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Solution

The fourth proportional to 3,360, 5,040 and 3,161.28 is: 4,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,360 : 5,040 = 3,161.28 : x
  2. Step 2: Convert to fraction form
    3,360/5,040 = 3,161.28/x
  3. Step 3: Cross multiply
    3,360x = 5,040 × 3,161.28
  4. Step 4: Simplify right side
    3,360x = 15,932,851.20
  5. Step 5: Solve for x
    x = 15,932,851.20/3,360
  6. Step 6: Final answer
    x = 4,741.92

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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.