Home / 2,420.46-3,635.01-1,982.54

Finding the Fourth Proportional to 2,420.46, 3,635.01 and 1,982.54

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Solution

The fourth proportional to 2,420.46, 3,635.01 and 1,982.54 is: 2,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.46 : 3,635.01 = 1,982.54 : x
  2. Step 2: Convert to fraction form
    2,420.46/3,635.01 = 1,982.54/x
  3. Step 3: Cross multiply
    2,420.46x = 3,635.01 × 1,982.54
  4. Step 4: Simplify right side
    2,420.46x = 7,206,561.81
  5. Step 5: Solve for x
    x = 7,206,561.81/2,420.46
  6. Step 6: Final answer
    x = 2,977.35

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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.