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Finding the Fourth Proportional to 2,192.45, 3,288.87 and 632.43

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Solution

The fourth proportional to 2,192.45, 3,288.87 and 632.43 is: 948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.45 : 3,288.87 = 632.43 : x
  2. Step 2: Convert to fraction form
    2,192.45/3,288.87 = 632.43/x
  3. Step 3: Cross multiply
    2,192.45x = 3,288.87 × 632.43
  4. Step 4: Simplify right side
    2,192.45x = 2,079,980.05
  5. Step 5: Solve for x
    x = 2,079,980.05/2,192.45
  6. Step 6: Final answer
    x = 948.70

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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.