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Finding the Fourth Proportional to 2,872.40, 4,301.40 and 2,296.40

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Solution

The fourth proportional to 2,872.40, 4,301.40 and 2,296.40 is: 3,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.40 : 4,301.40 = 2,296.40 : x
  2. Step 2: Convert to fraction form
    2,872.40/4,301.40 = 2,296.40/x
  3. Step 3: Cross multiply
    2,872.40x = 4,301.40 × 2,296.40
  4. Step 4: Simplify right side
    2,872.40x = 9,877,734.96
  5. Step 5: Solve for x
    x = 9,877,734.96/2,872.40
  6. Step 6: Final answer
    x = 3,438.84

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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.