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Finding the Fourth Proportional to 3,865.91, 5,334.81 and 2,097.48

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Solution

The fourth proportional to 3,865.91, 5,334.81 and 2,097.48 is: 2,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.91 : 5,334.81 = 2,097.48 : x
  2. Step 2: Convert to fraction form
    3,865.91/5,334.81 = 2,097.48/x
  3. Step 3: Cross multiply
    3,865.91x = 5,334.81 × 2,097.48
  4. Step 4: Simplify right side
    3,865.91x = 11,189,657.28
  5. Step 5: Solve for x
    x = 11,189,657.28/3,865.91
  6. Step 6: Final answer
    x = 2,894.44

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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.