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Finding the Fourth Proportional to 1,942.49, 2,913.96 and 626.15

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Solution

The fourth proportional to 1,942.49, 2,913.96 and 626.15 is: 939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.49 : 2,913.96 = 626.15 : x
  2. Step 2: Convert to fraction form
    1,942.49/2,913.96 = 626.15/x
  3. Step 3: Cross multiply
    1,942.49x = 2,913.96 × 626.15
  4. Step 4: Simplify right side
    1,942.49x = 1,824,576.05
  5. Step 5: Solve for x
    x = 1,824,576.05/1,942.49
  6. Step 6: Final answer
    x = 939.30

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1.5x scale

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.