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Finding the Fourth Proportional to 2,004.31, 3,006.45 and 617.98

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Solution

The fourth proportional to 2,004.31, 3,006.45 and 617.98 is: 926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.31 : 3,006.45 = 617.98 : x
  2. Step 2: Convert to fraction form
    2,004.31/3,006.45 = 617.98/x
  3. Step 3: Cross multiply
    2,004.31x = 3,006.45 × 617.98
  4. Step 4: Simplify right side
    2,004.31x = 1,857,925.97
  5. Step 5: Solve for x
    x = 1,857,925.97/2,004.31
  6. Step 6: Final answer
    x = 926.97

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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.