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Finding the Fourth Proportional to 3,776.76, 5,212.62 and 2,947.32

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Solution

The fourth proportional to 3,776.76, 5,212.62 and 2,947.32 is: 4,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.76 : 5,212.62 = 2,947.32 : x
  2. Step 2: Convert to fraction form
    3,776.76/5,212.62 = 2,947.32/x
  3. Step 3: Cross multiply
    3,776.76x = 5,212.62 × 2,947.32
  4. Step 4: Simplify right side
    3,776.76x = 15,363,259.18
  5. Step 5: Solve for x
    x = 15,363,259.18/3,776.76
  6. Step 6: Final answer
    x = 4,067.84

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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.