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Finding the Fourth Proportional to 5,487.83, 8,230.71 and 1,790.20

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Solution

The fourth proportional to 5,487.83, 8,230.71 and 1,790.20 is: 2,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.83 : 8,230.71 = 1,790.20 : x
  2. Step 2: Convert to fraction form
    5,487.83/8,230.71 = 1,790.20/x
  3. Step 3: Cross multiply
    5,487.83x = 8,230.71 × 1,790.20
  4. Step 4: Simplify right side
    5,487.83x = 14,734,634.04
  5. Step 5: Solve for x
    x = 14,734,634.04/5,487.83
  6. Step 6: Final answer
    x = 2,684.96

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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.