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Finding the Fourth Proportional to 1,187.44, 1,638.72 and 838.24

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Solution

The fourth proportional to 1,187.44, 1,638.72 and 838.24 is: 1,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.44 : 1,638.72 = 838.24 : x
  2. Step 2: Convert to fraction form
    1,187.44/1,638.72 = 838.24/x
  3. Step 3: Cross multiply
    1,187.44x = 1,638.72 × 838.24
  4. Step 4: Simplify right side
    1,187.44x = 1,373,640.65
  5. Step 5: Solve for x
    x = 1,373,640.65/1,187.44
  6. Step 6: Final answer
    x = 1,156.81

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1.5x scale

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.