Home / 1,823.13-2,734.89-653.04

Finding the Fourth Proportional to 1,823.13, 2,734.89 and 653.04

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Solution

The fourth proportional to 1,823.13, 2,734.89 and 653.04 is: 979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.13 : 2,734.89 = 653.04 : x
  2. Step 2: Convert to fraction form
    1,823.13/2,734.89 = 653.04/x
  3. Step 3: Cross multiply
    1,823.13x = 2,734.89 × 653.04
  4. Step 4: Simplify right side
    1,823.13x = 1,785,992.57
  5. Step 5: Solve for x
    x = 1,785,992.57/1,823.13
  6. Step 6: Final answer
    x = 979.63

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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.