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Finding the Fourth Proportional to 1,888.22, 2,829.45 and 1,269.64

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Solution

The fourth proportional to 1,888.22, 2,829.45 and 1,269.64 is: 1,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.22 : 2,829.45 = 1,269.64 : x
  2. Step 2: Convert to fraction form
    1,888.22/2,829.45 = 1,269.64/x
  3. Step 3: Cross multiply
    1,888.22x = 2,829.45 × 1,269.64
  4. Step 4: Simplify right side
    1,888.22x = 3,592,382.90
  5. Step 5: Solve for x
    x = 3,592,382.90/1,888.22
  6. Step 6: Final answer
    x = 1,902.52

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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.