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Finding the Fourth Proportional to 3,617.32, 4,992 and 2,045.38

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Solution

The fourth proportional to 3,617.32, 4,992 and 2,045.38 is: 2,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.32 : 4,992 = 2,045.38 : x
  2. Step 2: Convert to fraction form
    3,617.32/4,992 = 2,045.38/x
  3. Step 3: Cross multiply
    3,617.32x = 4,992 × 2,045.38
  4. Step 4: Simplify right side
    3,617.32x = 10,210,512
  5. Step 5: Solve for x
    x = 10,210,512/3,617.32
  6. Step 6: Final answer
    x = 2,822.68

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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.