Home / 3,207.30-4,807.82-1,648.06

Finding the Fourth Proportional to 3,207.30, 4,807.82 and 1,648.06

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Solution

The fourth proportional to 3,207.30, 4,807.82 and 1,648.06 is: 2,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.30 : 4,807.82 = 1,648.06 : x
  2. Step 2: Convert to fraction form
    3,207.30/4,807.82 = 1,648.06/x
  3. Step 3: Cross multiply
    3,207.30x = 4,807.82 × 1,648.06
  4. Step 4: Simplify right side
    3,207.30x = 7,923,575.83
  5. Step 5: Solve for x
    x = 7,923,575.83/3,207.30
  6. Step 6: Final answer
    x = 2,470.48

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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.