Home / 1,648.14-2,274.42-949.50

Finding the Fourth Proportional to 1,648.14, 2,274.42 and 949.50

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Solution

The fourth proportional to 1,648.14, 2,274.42 and 949.50 is: 1,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.14 : 2,274.42 = 949.50 : x
  2. Step 2: Convert to fraction form
    1,648.14/2,274.42 = 949.50/x
  3. Step 3: Cross multiply
    1,648.14x = 2,274.42 × 949.50
  4. Step 4: Simplify right side
    1,648.14x = 2,159,561.79
  5. Step 5: Solve for x
    x = 2,159,561.79/1,648.14
  6. Step 6: Final answer
    x = 1,310.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.