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Finding the Fourth Proportional to 4,273.60, 6,410.40 and 1,965.10

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Solution

The fourth proportional to 4,273.60, 6,410.40 and 1,965.10 is: 2,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.60 : 6,410.40 = 1,965.10 : x
  2. Step 2: Convert to fraction form
    4,273.60/6,410.40 = 1,965.10/x
  3. Step 3: Cross multiply
    4,273.60x = 6,410.40 × 1,965.10
  4. Step 4: Simplify right side
    4,273.60x = 12,597,077.04
  5. Step 5: Solve for x
    x = 12,597,077.04/4,273.60
  6. Step 6: Final answer
    x = 2,947.65

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Similar ratio
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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.