Home / 2,380.05-3,569.87-820.05

Finding the Fourth Proportional to 2,380.05, 3,569.87 and 820.05

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Solution

The fourth proportional to 2,380.05, 3,569.87 and 820.05 is: 1,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.05 : 3,569.87 = 820.05 : x
  2. Step 2: Convert to fraction form
    2,380.05/3,569.87 = 820.05/x
  3. Step 3: Cross multiply
    2,380.05x = 3,569.87 × 820.05
  4. Step 4: Simplify right side
    2,380.05x = 2,927,451.99
  5. Step 5: Solve for x
    x = 2,927,451.99/2,380.05
  6. Step 6: Final answer
    x = 1,230.00

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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.