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Finding the Fourth Proportional to 1,524.37, 2,102.86 and 963.90

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Solution

The fourth proportional to 1,524.37, 2,102.86 and 963.90 is: 1,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.37 : 2,102.86 = 963.90 : x
  2. Step 2: Convert to fraction form
    1,524.37/2,102.86 = 963.90/x
  3. Step 3: Cross multiply
    1,524.37x = 2,102.86 × 963.90
  4. Step 4: Simplify right side
    1,524.37x = 2,026,942.70
  5. Step 5: Solve for x
    x = 2,026,942.70/1,524.37
  6. Step 6: Final answer
    x = 1,329.69

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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.