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Finding the Fourth Proportional to 2,991.40, 4,479 and 1,690.54

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Solution

The fourth proportional to 2,991.40, 4,479 and 1,690.54 is: 2,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.40 : 4,479 = 1,690.54 : x
  2. Step 2: Convert to fraction form
    2,991.40/4,479 = 1,690.54/x
  3. Step 3: Cross multiply
    2,991.40x = 4,479 × 1,690.54
  4. Step 4: Simplify right side
    2,991.40x = 7,571,928.66
  5. Step 5: Solve for x
    x = 7,571,928.66/2,991.40
  6. Step 6: Final answer
    x = 2,531.23

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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.