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Finding the Fourth Proportional to 4,866.64, 6,716.49 and 2,979.49

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Solution

The fourth proportional to 4,866.64, 6,716.49 and 2,979.49 is: 4,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.64 : 6,716.49 = 2,979.49 : x
  2. Step 2: Convert to fraction form
    4,866.64/6,716.49 = 2,979.49/x
  3. Step 3: Cross multiply
    4,866.64x = 6,716.49 × 2,979.49
  4. Step 4: Simplify right side
    4,866.64x = 20,011,699.89
  5. Step 5: Solve for x
    x = 20,011,699.89/4,866.64
  6. Step 6: Final answer
    x = 4,112.02

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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.