Home / 2,021.78-3,027.86-1,032.16

Finding the Fourth Proportional to 2,021.78, 3,027.86 and 1,032.16

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Solution

The fourth proportional to 2,021.78, 3,027.86 and 1,032.16 is: 1,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.78 : 3,027.86 = 1,032.16 : x
  2. Step 2: Convert to fraction form
    2,021.78/3,027.86 = 1,032.16/x
  3. Step 3: Cross multiply
    2,021.78x = 3,027.86 × 1,032.16
  4. Step 4: Simplify right side
    2,021.78x = 3,125,235.98
  5. Step 5: Solve for x
    x = 3,125,235.98/2,021.78
  6. Step 6: Final answer
    x = 1,545.78

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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.