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Finding the Fourth Proportional to 2,087.40, 3,130.89 and 626.55

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Solution

The fourth proportional to 2,087.40, 3,130.89 and 626.55 is: 939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.40 : 3,130.89 = 626.55 : x
  2. Step 2: Convert to fraction form
    2,087.40/3,130.89 = 626.55/x
  3. Step 3: Cross multiply
    2,087.40x = 3,130.89 × 626.55
  4. Step 4: Simplify right side
    2,087.40x = 1,961,659.13
  5. Step 5: Solve for x
    x = 1,961,659.13/2,087.40
  6. Step 6: Final answer
    x = 939.76

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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.