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Finding the Fourth Proportional to 2,398.77, 3,604.64 and 1,425.15

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Solution

The fourth proportional to 2,398.77, 3,604.64 and 1,425.15 is: 2,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.77 : 3,604.64 = 1,425.15 : x
  2. Step 2: Convert to fraction form
    2,398.77/3,604.64 = 1,425.15/x
  3. Step 3: Cross multiply
    2,398.77x = 3,604.64 × 1,425.15
  4. Step 4: Simplify right side
    2,398.77x = 5,137,145.57
  5. Step 5: Solve for x
    x = 5,137,145.57/2,398.77
  6. Step 6: Final answer
    x = 2,141.57

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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.