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Finding the Fourth Proportional to 2,290.05, 3,160.02 and 1,295.40

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Solution

The fourth proportional to 2,290.05, 3,160.02 and 1,295.40 is: 1,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.05 : 3,160.02 = 1,295.40 : x
  2. Step 2: Convert to fraction form
    2,290.05/3,160.02 = 1,295.40/x
  3. Step 3: Cross multiply
    2,290.05x = 3,160.02 × 1,295.40
  4. Step 4: Simplify right side
    2,290.05x = 4,093,489.91
  5. Step 5: Solve for x
    x = 4,093,489.91/2,290.05
  6. Step 6: Final answer
    x = 1,787.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.