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Finding the Fourth Proportional to 1,647.36, 2,471.04 and 998.28

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Solution

The fourth proportional to 1,647.36, 2,471.04 and 998.28 is: 1,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.36 : 2,471.04 = 998.28 : x
  2. Step 2: Convert to fraction form
    1,647.36/2,471.04 = 998.28/x
  3. Step 3: Cross multiply
    1,647.36x = 2,471.04 × 998.28
  4. Step 4: Simplify right side
    1,647.36x = 2,466,789.81
  5. Step 5: Solve for x
    x = 2,466,789.81/1,647.36
  6. Step 6: Final answer
    x = 1,497.42

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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.