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Finding the Fourth Proportional to 3,230.35, 4,845.53 and 921.85

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Solution

The fourth proportional to 3,230.35, 4,845.53 and 921.85 is: 1,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.35 : 4,845.53 = 921.85 : x
  2. Step 2: Convert to fraction form
    3,230.35/4,845.53 = 921.85/x
  3. Step 3: Cross multiply
    3,230.35x = 4,845.53 × 921.85
  4. Step 4: Simplify right side
    3,230.35x = 4,466,835.11
  5. Step 5: Solve for x
    x = 4,466,835.11/3,230.35
  6. Step 6: Final answer
    x = 1,382.77

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Half scale
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Double 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.