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Finding the Fourth Proportional to 4,949.64, 7,390.53 and 4,218.84

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Solution

The fourth proportional to 4,949.64, 7,390.53 and 4,218.84 is: 6,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.64 : 7,390.53 = 4,218.84 : x
  2. Step 2: Convert to fraction form
    4,949.64/7,390.53 = 4,218.84/x
  3. Step 3: Cross multiply
    4,949.64x = 7,390.53 × 4,218.84
  4. Step 4: Simplify right side
    4,949.64x = 31,179,463.59
  5. Step 5: Solve for x
    x = 31,179,463.59/4,949.64
  6. Step 6: Final answer
    x = 6,299.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.