Home / 4,162.48-6,241.29-1,564

Finding the Fourth Proportional to 4,162.48, 6,241.29 and 1,564

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Solution

The fourth proportional to 4,162.48, 6,241.29 and 1,564 is: 2,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.48 : 6,241.29 = 1,564 : x
  2. Step 2: Convert to fraction form
    4,162.48/6,241.29 = 1,564/x
  3. Step 3: Cross multiply
    4,162.48x = 6,241.29 × 1,564
  4. Step 4: Simplify right side
    4,162.48x = 9,761,377.56
  5. Step 5: Solve for x
    x = 9,761,377.56/4,162.48
  6. Step 6: Final answer
    x = 2,345.09

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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.