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Finding the Fourth Proportional to 1,887.87, 2,834.23 and 1,022.79

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Solution

The fourth proportional to 1,887.87, 2,834.23 and 1,022.79 is: 1,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.87 : 2,834.23 = 1,022.79 : x
  2. Step 2: Convert to fraction form
    1,887.87/2,834.23 = 1,022.79/x
  3. Step 3: Cross multiply
    1,887.87x = 2,834.23 × 1,022.79
  4. Step 4: Simplify right side
    1,887.87x = 2,898,822.10
  5. Step 5: Solve for x
    x = 2,898,822.10/1,887.87
  6. Step 6: Final answer
    x = 1,535.50

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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.