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Finding the Fourth Proportional to 4,643.93, 6,403.82 and 3,229.20

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Solution

The fourth proportional to 4,643.93, 6,403.82 and 3,229.20 is: 4,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.93 : 6,403.82 = 3,229.20 : x
  2. Step 2: Convert to fraction form
    4,643.93/6,403.82 = 3,229.20/x
  3. Step 3: Cross multiply
    4,643.93x = 6,403.82 × 3,229.20
  4. Step 4: Simplify right side
    4,643.93x = 20,679,199.40
  5. Step 5: Solve for x
    x = 20,679,199.40/4,643.93
  6. Step 6: Final answer
    x = 4,452.96

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Half scale
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Double scale
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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.