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Finding the Fourth Proportional to 6,203.40, 9,305.10 and 5,728.20

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Solution

The fourth proportional to 6,203.40, 9,305.10 and 5,728.20 is: 8,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.40 : 9,305.10 = 5,728.20 : x
  2. Step 2: Convert to fraction form
    6,203.40/9,305.10 = 5,728.20/x
  3. Step 3: Cross multiply
    6,203.40x = 9,305.10 × 5,728.20
  4. Step 4: Simplify right side
    6,203.40x = 53,301,473.82
  5. Step 5: Solve for x
    x = 53,301,473.82/6,203.40
  6. Step 6: Final answer
    x = 8,592.30

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Half scale
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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.