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Finding the Fourth Proportional to 6,865.44, 9,475.44 and 4,072.80

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Solution

The fourth proportional to 6,865.44, 9,475.44 and 4,072.80 is: 5,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.44 : 9,475.44 = 4,072.80 : x
  2. Step 2: Convert to fraction form
    6,865.44/9,475.44 = 4,072.80/x
  3. Step 3: Cross multiply
    6,865.44x = 9,475.44 × 4,072.80
  4. Step 4: Simplify right side
    6,865.44x = 38,591,572.03
  5. Step 5: Solve for x
    x = 38,591,572.03/6,865.44
  6. Step 6: Final answer
    x = 5,621.14

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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.