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Finding the Fourth Proportional to 3,917.81, 5,873.11 and 1,695.25

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Solution

The fourth proportional to 3,917.81, 5,873.11 and 1,695.25 is: 2,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.81 : 5,873.11 = 1,695.25 : x
  2. Step 2: Convert to fraction form
    3,917.81/5,873.11 = 1,695.25/x
  3. Step 3: Cross multiply
    3,917.81x = 5,873.11 × 1,695.25
  4. Step 4: Simplify right side
    3,917.81x = 9,956,381.25
  5. Step 5: Solve for x
    x = 9,956,381.25/3,917.81
  6. Step 6: Final answer
    x = 2,541.32

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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.