Home / 2,084.28-3,124.02-784.44

Finding the Fourth Proportional to 2,084.28, 3,124.02 and 784.44

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Solution

The fourth proportional to 2,084.28, 3,124.02 and 784.44 is: 1,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.28 : 3,124.02 = 784.44 : x
  2. Step 2: Convert to fraction form
    2,084.28/3,124.02 = 784.44/x
  3. Step 3: Cross multiply
    2,084.28x = 3,124.02 × 784.44
  4. Step 4: Simplify right side
    2,084.28x = 2,450,606.25
  5. Step 5: Solve for x
    x = 2,450,606.25/2,084.28
  6. Step 6: Final answer
    x = 1,175.76

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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.