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Finding the Fourth Proportional to 3,788.70, 5,227.87 and 2,109.87

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Solution

The fourth proportional to 3,788.70, 5,227.87 and 2,109.87 is: 2,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.70 : 5,227.87 = 2,109.87 : x
  2. Step 2: Convert to fraction form
    3,788.70/5,227.87 = 2,109.87/x
  3. Step 3: Cross multiply
    3,788.70x = 5,227.87 × 2,109.87
  4. Step 4: Simplify right side
    3,788.70x = 11,030,126.08
  5. Step 5: Solve for x
    x = 11,030,126.08/3,788.70
  6. Step 6: Final answer
    x = 2,911.32

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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.