Home / 2,084.13-3,127.41-785.70

Finding the Fourth Proportional to 2,084.13, 3,127.41 and 785.70

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Solution

The fourth proportional to 2,084.13, 3,127.41 and 785.70 is: 1,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.13 : 3,127.41 = 785.70 : x
  2. Step 2: Convert to fraction form
    2,084.13/3,127.41 = 785.70/x
  3. Step 3: Cross multiply
    2,084.13x = 3,127.41 × 785.70
  4. Step 4: Simplify right side
    2,084.13x = 2,457,206.04
  5. Step 5: Solve for x
    x = 2,457,206.04/2,084.13
  6. Step 6: Final answer
    x = 1,179.01

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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.