Home / 2,509.50-3,463.11-1,462.20

Finding the Fourth Proportional to 2,509.50, 3,463.11 and 1,462.20

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Solution

The fourth proportional to 2,509.50, 3,463.11 and 1,462.20 is: 2,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.50 : 3,463.11 = 1,462.20 : x
  2. Step 2: Convert to fraction form
    2,509.50/3,463.11 = 1,462.20/x
  3. Step 3: Cross multiply
    2,509.50x = 3,463.11 × 1,462.20
  4. Step 4: Simplify right side
    2,509.50x = 5,063,759.44
  5. Step 5: Solve for x
    x = 5,063,759.44/2,509.50
  6. Step 6: Final answer
    x = 2,017.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.