Home / 2,021.66-3,032.91-705.31

Finding the Fourth Proportional to 2,021.66, 3,032.91 and 705.31

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Solution

The fourth proportional to 2,021.66, 3,032.91 and 705.31 is: 1,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.66 : 3,032.91 = 705.31 : x
  2. Step 2: Convert to fraction form
    2,021.66/3,032.91 = 705.31/x
  3. Step 3: Cross multiply
    2,021.66x = 3,032.91 × 705.31
  4. Step 4: Simplify right side
    2,021.66x = 2,139,134.17
  5. Step 5: Solve for x
    x = 2,139,134.17/2,021.66
  6. Step 6: Final answer
    x = 1,058.11

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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.