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Finding the Fourth Proportional to 4,869.12, 6,716.16 and 3,002.88

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Solution

The fourth proportional to 4,869.12, 6,716.16 and 3,002.88 is: 4,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.12 : 6,716.16 = 3,002.88 : x
  2. Step 2: Convert to fraction form
    4,869.12/6,716.16 = 3,002.88/x
  3. Step 3: Cross multiply
    4,869.12x = 6,716.16 × 3,002.88
  4. Step 4: Simplify right side
    4,869.12x = 20,167,822.54
  5. Step 5: Solve for x
    x = 20,167,822.54/4,869.12
  6. Step 6: Final answer
    x = 4,141.99

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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.