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Finding the Fourth Proportional to 2,091.93, 3,138.70 and 705.31

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Solution

The fourth proportional to 2,091.93, 3,138.70 and 705.31 is: 1,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.93 : 3,138.70 = 705.31 : x
  2. Step 2: Convert to fraction form
    2,091.93/3,138.70 = 705.31/x
  3. Step 3: Cross multiply
    2,091.93x = 3,138.70 × 705.31
  4. Step 4: Simplify right side
    2,091.93x = 2,213,748.21
  5. Step 5: Solve for x
    x = 2,213,748.21/2,091.93
  6. Step 6: Final answer
    x = 1,058.23

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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.