Home / 2,814.70-4,222.05-1,648.30

Finding the Fourth Proportional to 2,814.70, 4,222.05 and 1,648.30

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Solution

The fourth proportional to 2,814.70, 4,222.05 and 1,648.30 is: 2,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.70 : 4,222.05 = 1,648.30 : x
  2. Step 2: Convert to fraction form
    2,814.70/4,222.05 = 1,648.30/x
  3. Step 3: Cross multiply
    2,814.70x = 4,222.05 × 1,648.30
  4. Step 4: Simplify right side
    2,814.70x = 6,959,205.02
  5. Step 5: Solve for x
    x = 6,959,205.02/2,814.70
  6. Step 6: Final answer
    x = 2,472.45

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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.