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Finding the Fourth Proportional to 3,894.86, 5,346.31 and 3,442.88

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Solution

The fourth proportional to 3,894.86, 5,346.31 and 3,442.88 is: 4,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.86 : 5,346.31 = 3,442.88 : x
  2. Step 2: Convert to fraction form
    3,894.86/5,346.31 = 3,442.88/x
  3. Step 3: Cross multiply
    3,894.86x = 5,346.31 × 3,442.88
  4. Step 4: Simplify right side
    3,894.86x = 18,406,703.77
  5. Step 5: Solve for x
    x = 18,406,703.77/3,894.86
  6. Step 6: Final answer
    x = 4,725.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.