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Finding the Fourth Proportional to 3,410.87, 5,116.03 and 945.75

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Solution

The fourth proportional to 3,410.87, 5,116.03 and 945.75 is: 1,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.87 : 5,116.03 = 945.75 : x
  2. Step 2: Convert to fraction form
    3,410.87/5,116.03 = 945.75/x
  3. Step 3: Cross multiply
    3,410.87x = 5,116.03 × 945.75
  4. Step 4: Simplify right side
    3,410.87x = 4,838,483.01
  5. Step 5: Solve for x
    x = 4,838,483.01/3,410.87
  6. Step 6: Final answer
    x = 1,418.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.