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Finding the Fourth Proportional to 1,888.74, 2,832.21 and 1,158.66

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Solution

The fourth proportional to 1,888.74, 2,832.21 and 1,158.66 is: 1,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.74 : 2,832.21 = 1,158.66 : x
  2. Step 2: Convert to fraction form
    1,888.74/2,832.21 = 1,158.66/x
  3. Step 3: Cross multiply
    1,888.74x = 2,832.21 × 1,158.66
  4. Step 4: Simplify right side
    1,888.74x = 3,281,568.44
  5. Step 5: Solve for x
    x = 3,281,568.44/1,888.74
  6. Step 6: Final answer
    x = 1,737.44

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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.