Home / 2,010.24-3,016.37-778.50

Finding the Fourth Proportional to 2,010.24, 3,016.37 and 778.50

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Solution

The fourth proportional to 2,010.24, 3,016.37 and 778.50 is: 1,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.24 : 3,016.37 = 778.50 : x
  2. Step 2: Convert to fraction form
    2,010.24/3,016.37 = 778.50/x
  3. Step 3: Cross multiply
    2,010.24x = 3,016.37 × 778.50
  4. Step 4: Simplify right side
    2,010.24x = 2,348,244.05
  5. Step 5: Solve for x
    x = 2,348,244.05/2,010.24
  6. Step 6: Final answer
    x = 1,168.14

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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.