Home / 2,084.31-3,127.01-785.79

Finding the Fourth Proportional to 2,084.31, 3,127.01 and 785.79

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Solution

The fourth proportional to 2,084.31, 3,127.01 and 785.79 is: 1,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.31 : 3,127.01 = 785.79 : x
  2. Step 2: Convert to fraction form
    2,084.31/3,127.01 = 785.79/x
  3. Step 3: Cross multiply
    2,084.31x = 3,127.01 × 785.79
  4. Step 4: Simplify right side
    2,084.31x = 2,457,169.26
  5. Step 5: Solve for x
    x = 2,457,169.26/2,084.31
  6. Step 6: Final answer
    x = 1,178.89

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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.