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Finding the Fourth Proportional to 1,872.87, 2,605.23 and 1,837.23

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Solution

The fourth proportional to 1,872.87, 2,605.23 and 1,837.23 is: 2,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.87 : 2,605.23 = 1,837.23 : x
  2. Step 2: Convert to fraction form
    1,872.87/2,605.23 = 1,837.23/x
  3. Step 3: Cross multiply
    1,872.87x = 2,605.23 × 1,837.23
  4. Step 4: Simplify right side
    1,872.87x = 4,786,406.71
  5. Step 5: Solve for x
    x = 4,786,406.71/1,872.87
  6. Step 6: Final answer
    x = 2,555.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.