Home / 2,265.09-3,396.98-784.25

Finding the Fourth Proportional to 2,265.09, 3,396.98 and 784.25

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Solution

The fourth proportional to 2,265.09, 3,396.98 and 784.25 is: 1,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.09 : 3,396.98 = 784.25 : x
  2. Step 2: Convert to fraction form
    2,265.09/3,396.98 = 784.25/x
  3. Step 3: Cross multiply
    2,265.09x = 3,396.98 × 784.25
  4. Step 4: Simplify right side
    2,265.09x = 2,664,087.03
  5. Step 5: Solve for x
    x = 2,664,087.03/2,265.09
  6. Step 6: Final answer
    x = 1,176.15

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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.