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Finding the Fourth Proportional to 3,866.31, 5,798.94 and 1,093.20

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Solution

The fourth proportional to 3,866.31, 5,798.94 and 1,093.20 is: 1,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.31 : 5,798.94 = 1,093.20 : x
  2. Step 2: Convert to fraction form
    3,866.31/5,798.94 = 1,093.20/x
  3. Step 3: Cross multiply
    3,866.31x = 5,798.94 × 1,093.20
  4. Step 4: Simplify right side
    3,866.31x = 6,339,401.21
  5. Step 5: Solve for x
    x = 6,339,401.21/3,866.31
  6. Step 6: Final answer
    x = 1,639.65

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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.