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Finding the Fourth Proportional to 2,187.56, 3,283.68 and 1,035.68

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Solution

The fourth proportional to 2,187.56, 3,283.68 and 1,035.68 is: 1,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.56 : 3,283.68 = 1,035.68 : x
  2. Step 2: Convert to fraction form
    2,187.56/3,283.68 = 1,035.68/x
  3. Step 3: Cross multiply
    2,187.56x = 3,283.68 × 1,035.68
  4. Step 4: Simplify right side
    2,187.56x = 3,400,841.70
  5. Step 5: Solve for x
    x = 3,400,841.70/2,187.56
  6. Step 6: Final answer
    x = 1,554.63

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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.