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Finding the Fourth Proportional to 4,921.78, 7,382.94 and 2,000.02

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Solution

The fourth proportional to 4,921.78, 7,382.94 and 2,000.02 is: 3,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.78 : 7,382.94 = 2,000.02 : x
  2. Step 2: Convert to fraction form
    4,921.78/7,382.94 = 2,000.02/x
  3. Step 3: Cross multiply
    4,921.78x = 7,382.94 × 2,000.02
  4. Step 4: Simplify right side
    4,921.78x = 14,766,027.66
  5. Step 5: Solve for x
    x = 14,766,027.66/4,921.78
  6. Step 6: Final answer
    x = 3,000.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.