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Finding the Fourth Proportional to 2,092.39, 3,138.63 and 705.76

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Solution

The fourth proportional to 2,092.39, 3,138.63 and 705.76 is: 1,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.39 : 3,138.63 = 705.76 : x
  2. Step 2: Convert to fraction form
    2,092.39/3,138.63 = 705.76/x
  3. Step 3: Cross multiply
    2,092.39x = 3,138.63 × 705.76
  4. Step 4: Simplify right side
    2,092.39x = 2,215,119.51
  5. Step 5: Solve for x
    x = 2,215,119.51/2,092.39
  6. Step 6: Final answer
    x = 1,058.66

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1.5x scale

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.