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Finding the Fourth Proportional to 2,280.29, 3,420.32 and 893.88

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Solution

The fourth proportional to 2,280.29, 3,420.32 and 893.88 is: 1,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.29 : 3,420.32 = 893.88 : x
  2. Step 2: Convert to fraction form
    2,280.29/3,420.32 = 893.88/x
  3. Step 3: Cross multiply
    2,280.29x = 3,420.32 × 893.88
  4. Step 4: Simplify right side
    2,280.29x = 3,057,361.96
  5. Step 5: Solve for x
    x = 3,057,361.96/2,280.29
  6. Step 6: Final answer
    x = 1,340.78

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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.