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Finding the Fourth Proportional to 2,192.78, 3,289.75 and 632.91

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Solution

The fourth proportional to 2,192.78, 3,289.75 and 632.91 is: 949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.78 : 3,289.75 = 632.91 : x
  2. Step 2: Convert to fraction form
    2,192.78/3,289.75 = 632.91/x
  3. Step 3: Cross multiply
    2,192.78x = 3,289.75 × 632.91
  4. Step 4: Simplify right side
    2,192.78x = 2,082,129.10
  5. Step 5: Solve for x
    x = 2,082,129.10/2,192.78
  6. Step 6: Final answer
    x = 949.54

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1.5x scale

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.