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Finding the Fourth Proportional to 1,789.70, 2,683.13 and 815.27

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Solution

The fourth proportional to 1,789.70, 2,683.13 and 815.27 is: 1,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.70 : 2,683.13 = 815.27 : x
  2. Step 2: Convert to fraction form
    1,789.70/2,683.13 = 815.27/x
  3. Step 3: Cross multiply
    1,789.70x = 2,683.13 × 815.27
  4. Step 4: Simplify right side
    1,789.70x = 2,187,457.90
  5. Step 5: Solve for x
    x = 2,187,457.90/1,789.70
  6. Step 6: Final answer
    x = 1,222.25

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1.5x scale

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.