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Finding the Fourth Proportional to 3,980.64, 5,970.96 and 2,683.02

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Solution

The fourth proportional to 3,980.64, 5,970.96 and 2,683.02 is: 4,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.64 : 5,970.96 = 2,683.02 : x
  2. Step 2: Convert to fraction form
    3,980.64/5,970.96 = 2,683.02/x
  3. Step 3: Cross multiply
    3,980.64x = 5,970.96 × 2,683.02
  4. Step 4: Simplify right side
    3,980.64x = 16,020,205.10
  5. Step 5: Solve for x
    x = 16,020,205.10/3,980.64
  6. Step 6: Final answer
    x = 4,024.53

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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.