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Finding the Fourth Proportional to 2,087.40, 3,126.83 and 988.43

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Solution

The fourth proportional to 2,087.40, 3,126.83 and 988.43 is: 1,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.40 : 3,126.83 = 988.43 : x
  2. Step 2: Convert to fraction form
    2,087.40/3,126.83 = 988.43/x
  3. Step 3: Cross multiply
    2,087.40x = 3,126.83 × 988.43
  4. Step 4: Simplify right side
    2,087.40x = 3,090,652.58
  5. Step 5: Solve for x
    x = 3,090,652.58/2,087.40
  6. Step 6: Final answer
    x = 1,480.62

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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.