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Finding the Fourth Proportional to 3,361.60, 5,032.80 and 2,977.60

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Solution

The fourth proportional to 3,361.60, 5,032.80 and 2,977.60 is: 4,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.60 : 5,032.80 = 2,977.60 : x
  2. Step 2: Convert to fraction form
    3,361.60/5,032.80 = 2,977.60/x
  3. Step 3: Cross multiply
    3,361.60x = 5,032.80 × 2,977.60
  4. Step 4: Simplify right side
    3,361.60x = 14,985,665.28
  5. Step 5: Solve for x
    x = 14,985,665.28/3,361.60
  6. Step 6: Final answer
    x = 4,457.90

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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.