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Finding the Fourth Proportional to 4,292.70, 5,920.86 and 3,939.77

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Solution

The fourth proportional to 4,292.70, 5,920.86 and 3,939.77 is: 5,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.70 : 5,920.86 = 3,939.77 : x
  2. Step 2: Convert to fraction form
    4,292.70/5,920.86 = 3,939.77/x
  3. Step 3: Cross multiply
    4,292.70x = 5,920.86 × 3,939.77
  4. Step 4: Simplify right side
    4,292.70x = 23,326,811.77
  5. Step 5: Solve for x
    x = 23,326,811.77/4,292.70
  6. Step 6: Final answer
    x = 5,434.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.