Home / 3,934.08-5,902-1,160.72

Finding the Fourth Proportional to 3,934.08, 5,902 and 1,160.72

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Solution

The fourth proportional to 3,934.08, 5,902 and 1,160.72 is: 1,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.08 : 5,902 = 1,160.72 : x
  2. Step 2: Convert to fraction form
    3,934.08/5,902 = 1,160.72/x
  3. Step 3: Cross multiply
    3,934.08x = 5,902 × 1,160.72
  4. Step 4: Simplify right side
    3,934.08x = 6,850,569.44
  5. Step 5: Solve for x
    x = 6,850,569.44/3,934.08
  6. Step 6: Final answer
    x = 1,741.34

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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.