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Finding the Fourth Proportional to 2,396.97, 3,594.02 and 990.31

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Solution

The fourth proportional to 2,396.97, 3,594.02 and 990.31 is: 1,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.97 : 3,594.02 = 990.31 : x
  2. Step 2: Convert to fraction form
    2,396.97/3,594.02 = 990.31/x
  3. Step 3: Cross multiply
    2,396.97x = 3,594.02 × 990.31
  4. Step 4: Simplify right side
    2,396.97x = 3,559,193.95
  5. Step 5: Solve for x
    x = 3,559,193.95/2,396.97
  6. Step 6: Final answer
    x = 1,484.87

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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.