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Finding the Fourth Proportional to 1,942.17, 2,912.98 and 626.06

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Solution

The fourth proportional to 1,942.17, 2,912.98 and 626.06 is: 939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.17 : 2,912.98 = 626.06 : x
  2. Step 2: Convert to fraction form
    1,942.17/2,912.98 = 626.06/x
  3. Step 3: Cross multiply
    1,942.17x = 2,912.98 × 626.06
  4. Step 4: Simplify right side
    1,942.17x = 1,823,700.26
  5. Step 5: Solve for x
    x = 1,823,700.26/1,942.17
  6. Step 6: Final answer
    x = 939.00

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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.