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Finding the Fourth Proportional to 3,298.28, 4,947.40 and 833.10

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Solution

The fourth proportional to 3,298.28, 4,947.40 and 833.10 is: 1,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.28 : 4,947.40 = 833.10 : x
  2. Step 2: Convert to fraction form
    3,298.28/4,947.40 = 833.10/x
  3. Step 3: Cross multiply
    3,298.28x = 4,947.40 × 833.10
  4. Step 4: Simplify right side
    3,298.28x = 4,121,656.74
  5. Step 5: Solve for x
    x = 4,121,656.74/3,298.28
  6. Step 6: Final answer
    x = 1,249.64

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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.