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Finding the Fourth Proportional to 3,905.86, 5,858.76 and 1,565.83

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Solution

The fourth proportional to 3,905.86, 5,858.76 and 1,565.83 is: 2,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.86 : 5,858.76 = 1,565.83 : x
  2. Step 2: Convert to fraction form
    3,905.86/5,858.76 = 1,565.83/x
  3. Step 3: Cross multiply
    3,905.86x = 5,858.76 × 1,565.83
  4. Step 4: Simplify right side
    3,905.86x = 9,173,822.17
  5. Step 5: Solve for x
    x = 9,173,822.17/3,905.86
  6. Step 6: Final answer
    x = 2,348.73

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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.