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Finding the Fourth Proportional to 1,311.84, 1,974.72 and 1,192.80

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Solution

The fourth proportional to 1,311.84, 1,974.72 and 1,192.80 is: 1,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.84 : 1,974.72 = 1,192.80 : x
  2. Step 2: Convert to fraction form
    1,311.84/1,974.72 = 1,192.80/x
  3. Step 3: Cross multiply
    1,311.84x = 1,974.72 × 1,192.80
  4. Step 4: Simplify right side
    1,311.84x = 2,355,446.02
  5. Step 5: Solve for x
    x = 2,355,446.02/1,311.84
  6. Step 6: Final answer
    x = 1,795.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.