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Finding the Fourth Proportional to 4,908, 6,765.89 and 3,727.02

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Solution

The fourth proportional to 4,908, 6,765.89 and 3,727.02 is: 5,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908 : 6,765.89 = 3,727.02 : x
  2. Step 2: Convert to fraction form
    4,908/6,765.89 = 3,727.02/x
  3. Step 3: Cross multiply
    4,908x = 6,765.89 × 3,727.02
  4. Step 4: Simplify right side
    4,908x = 25,216,588.71
  5. Step 5: Solve for x
    x = 25,216,588.71/4,908
  6. Step 6: Final answer
    x = 5,137.85

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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.