Home / 2,020.46-3,027.85-1,607.76

Finding the Fourth Proportional to 2,020.46, 3,027.85 and 1,607.76

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Solution

The fourth proportional to 2,020.46, 3,027.85 and 1,607.76 is: 2,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.46 : 3,027.85 = 1,607.76 : x
  2. Step 2: Convert to fraction form
    2,020.46/3,027.85 = 1,607.76/x
  3. Step 3: Cross multiply
    2,020.46x = 3,027.85 × 1,607.76
  4. Step 4: Simplify right side
    2,020.46x = 4,868,056.12
  5. Step 5: Solve for x
    x = 4,868,056.12/2,020.46
  6. Step 6: Final answer
    x = 2,409.38

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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.