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Finding the Fourth Proportional to 6,427.60, 9,641.40 and 3,965.20

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Solution

The fourth proportional to 6,427.60, 9,641.40 and 3,965.20 is: 5,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.60 : 9,641.40 = 3,965.20 : x
  2. Step 2: Convert to fraction form
    6,427.60/9,641.40 = 3,965.20/x
  3. Step 3: Cross multiply
    6,427.60x = 9,641.40 × 3,965.20
  4. Step 4: Simplify right side
    6,427.60x = 38,230,079.28
  5. Step 5: Solve for x
    x = 38,230,079.28/6,427.60
  6. Step 6: Final answer
    x = 5,947.80

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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.