Home / 1,122.02-1,682.01-949.80

Finding the Fourth Proportional to 1,122.02, 1,682.01 and 949.80

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Solution

The fourth proportional to 1,122.02, 1,682.01 and 949.80 is: 1,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.02 : 1,682.01 = 949.80 : x
  2. Step 2: Convert to fraction form
    1,122.02/1,682.01 = 949.80/x
  3. Step 3: Cross multiply
    1,122.02x = 1,682.01 × 949.80
  4. Step 4: Simplify right side
    1,122.02x = 1,597,559.94
  5. Step 5: Solve for x
    x = 1,597,559.94/1,122.02
  6. Step 6: Final answer
    x = 1,423.82

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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.