Home / 2,252.84-3,378.54-1,157.80

Finding the Fourth Proportional to 2,252.84, 3,378.54 and 1,157.80

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Solution

The fourth proportional to 2,252.84, 3,378.54 and 1,157.80 is: 1,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.84 : 3,378.54 = 1,157.80 : x
  2. Step 2: Convert to fraction form
    2,252.84/3,378.54 = 1,157.80/x
  3. Step 3: Cross multiply
    2,252.84x = 3,378.54 × 1,157.80
  4. Step 4: Simplify right side
    2,252.84x = 3,911,673.61
  5. Step 5: Solve for x
    x = 3,911,673.61/2,252.84
  6. Step 6: Final answer
    x = 1,736.33

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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.