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Finding the Fourth Proportional to 3,873.82, 5,812.29 and 1,565.50

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Solution

The fourth proportional to 3,873.82, 5,812.29 and 1,565.50 is: 2,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.82 : 5,812.29 = 1,565.50 : x
  2. Step 2: Convert to fraction form
    3,873.82/5,812.29 = 1,565.50/x
  3. Step 3: Cross multiply
    3,873.82x = 5,812.29 × 1,565.50
  4. Step 4: Simplify right side
    3,873.82x = 9,099,140.00
  5. Step 5: Solve for x
    x = 9,099,140.00/3,873.82
  6. Step 6: Final answer
    x = 2,348.88

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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.