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Finding the Fourth Proportional to 3,098.23, 4,647.62 and 990.16

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Solution

The fourth proportional to 3,098.23, 4,647.62 and 990.16 is: 1,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.23 : 4,647.62 = 990.16 : x
  2. Step 2: Convert to fraction form
    3,098.23/4,647.62 = 990.16/x
  3. Step 3: Cross multiply
    3,098.23x = 4,647.62 × 990.16
  4. Step 4: Simplify right side
    3,098.23x = 4,601,894.09
  5. Step 5: Solve for x
    x = 4,601,894.09/3,098.23
  6. Step 6: Final answer
    x = 1,485.33

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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.