Home / 2,564.70-3,846.42-921.18

Finding the Fourth Proportional to 2,564.70, 3,846.42 and 921.18

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Solution

The fourth proportional to 2,564.70, 3,846.42 and 921.18 is: 1,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.70 : 3,846.42 = 921.18 : x
  2. Step 2: Convert to fraction form
    2,564.70/3,846.42 = 921.18/x
  3. Step 3: Cross multiply
    2,564.70x = 3,846.42 × 921.18
  4. Step 4: Simplify right side
    2,564.70x = 3,543,245.18
  5. Step 5: Solve for x
    x = 3,543,245.18/2,564.70
  6. Step 6: Final answer
    x = 1,381.54

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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.