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Finding the Fourth Proportional to 2,087.93, 3,130.97 and 626.81

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Solution

The fourth proportional to 2,087.93, 3,130.97 and 626.81 is: 939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.93 : 3,130.97 = 626.81 : x
  2. Step 2: Convert to fraction form
    2,087.93/3,130.97 = 626.81/x
  3. Step 3: Cross multiply
    2,087.93x = 3,130.97 × 626.81
  4. Step 4: Simplify right side
    2,087.93x = 1,962,504.52
  5. Step 5: Solve for x
    x = 1,962,504.52/2,087.93
  6. Step 6: Final answer
    x = 939.93

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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.