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Finding the Fourth Proportional to 2,872.40, 4,301.40 and 1,893.20

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Solution

The fourth proportional to 2,872.40, 4,301.40 and 1,893.20 is: 2,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.40 : 4,301.40 = 1,893.20 : x
  2. Step 2: Convert to fraction form
    2,872.40/4,301.40 = 1,893.20/x
  3. Step 3: Cross multiply
    2,872.40x = 4,301.40 × 1,893.20
  4. Step 4: Simplify right side
    2,872.40x = 8,143,410.48
  5. Step 5: Solve for x
    x = 8,143,410.48/2,872.40
  6. Step 6: Final answer
    x = 2,835.05

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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.