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Finding the Fourth Proportional to 2,087.96, 3,132 and 626.96

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Solution

The fourth proportional to 2,087.96, 3,132 and 626.96 is: 940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.96 : 3,132 = 626.96 : x
  2. Step 2: Convert to fraction form
    2,087.96/3,132 = 626.96/x
  3. Step 3: Cross multiply
    2,087.96x = 3,132 × 626.96
  4. Step 4: Simplify right side
    2,087.96x = 1,963,638.72
  5. Step 5: Solve for x
    x = 1,963,638.72/2,087.96
  6. Step 6: Final answer
    x = 940.46

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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.