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Finding the Fourth Proportional to 2,972.80, 4,459.20 and 1,993.60

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Solution

The fourth proportional to 2,972.80, 4,459.20 and 1,993.60 is: 2,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.80 : 4,459.20 = 1,993.60 : x
  2. Step 2: Convert to fraction form
    2,972.80/4,459.20 = 1,993.60/x
  3. Step 3: Cross multiply
    2,972.80x = 4,459.20 × 1,993.60
  4. Step 4: Simplify right side
    2,972.80x = 8,889,861.12
  5. Step 5: Solve for x
    x = 8,889,861.12/2,972.80
  6. Step 6: Final answer
    x = 2,990.40

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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.