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Finding the Fourth Proportional to 1,891.31, 2,834.52 and 1,526.81

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Solution

The fourth proportional to 1,891.31, 2,834.52 and 1,526.81 is: 2,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.31 : 2,834.52 = 1,526.81 : x
  2. Step 2: Convert to fraction form
    1,891.31/2,834.52 = 1,526.81/x
  3. Step 3: Cross multiply
    1,891.31x = 2,834.52 × 1,526.81
  4. Step 4: Simplify right side
    1,891.31x = 4,327,759.31
  5. Step 5: Solve for x
    x = 4,327,759.31/1,891.31
  6. Step 6: Final answer
    x = 2,288.24

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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.