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Finding the Fourth Proportional to 4,892, 6,752.58 and 3,029

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Solution

The fourth proportional to 4,892, 6,752.58 and 3,029 is: 4,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892 : 6,752.58 = 3,029 : x
  2. Step 2: Convert to fraction form
    4,892/6,752.58 = 3,029/x
  3. Step 3: Cross multiply
    4,892x = 6,752.58 × 3,029
  4. Step 4: Simplify right side
    4,892x = 20,453,564.82
  5. Step 5: Solve for x
    x = 20,453,564.82/4,892
  6. Step 6: Final answer
    x = 4,181.02

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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.