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Finding the Fourth Proportional to 1,888.43, 2,828.96 and 1,237.19

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Solution

The fourth proportional to 1,888.43, 2,828.96 and 1,237.19 is: 1,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.43 : 2,828.96 = 1,237.19 : x
  2. Step 2: Convert to fraction form
    1,888.43/2,828.96 = 1,237.19/x
  3. Step 3: Cross multiply
    1,888.43x = 2,828.96 × 1,237.19
  4. Step 4: Simplify right side
    1,888.43x = 3,499,961.02
  5. Step 5: Solve for x
    x = 3,499,961.02/1,888.43
  6. Step 6: Final answer
    x = 1,853.37

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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.