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Finding the Fourth Proportional to 3,678.91, 5,518.36 and 942.91

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Solution

The fourth proportional to 3,678.91, 5,518.36 and 942.91 is: 1,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.91 : 5,518.36 = 942.91 : x
  2. Step 2: Convert to fraction form
    3,678.91/5,518.36 = 942.91/x
  3. Step 3: Cross multiply
    3,678.91x = 5,518.36 × 942.91
  4. Step 4: Simplify right side
    3,678.91x = 5,203,289.24
  5. Step 5: Solve for x
    x = 5,203,289.24/3,678.91
  6. Step 6: Final answer
    x = 1,414.36

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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.