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Finding the Fourth Proportional to 5,747.76, 7,934.76 and 3,894.48

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Solution

The fourth proportional to 5,747.76, 7,934.76 and 3,894.48 is: 5,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.76 : 7,934.76 = 3,894.48 : x
  2. Step 2: Convert to fraction form
    5,747.76/7,934.76 = 3,894.48/x
  3. Step 3: Cross multiply
    5,747.76x = 7,934.76 × 3,894.48
  4. Step 4: Simplify right side
    5,747.76x = 30,901,764.12
  5. Step 5: Solve for x
    x = 30,901,764.12/5,747.76
  6. Step 6: Final answer
    x = 5,376.31

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1.5x scale

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.