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Finding the Fourth Proportional to 4,258.91, 5,874 and 3,780.86

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Solution

The fourth proportional to 4,258.91, 5,874 and 3,780.86 is: 5,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.91 : 5,874 = 3,780.86 : x
  2. Step 2: Convert to fraction form
    4,258.91/5,874 = 3,780.86/x
  3. Step 3: Cross multiply
    4,258.91x = 5,874 × 3,780.86
  4. Step 4: Simplify right side
    4,258.91x = 22,208,771.64
  5. Step 5: Solve for x
    x = 22,208,771.64/4,258.91
  6. Step 6: Final answer
    x = 5,214.66

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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.