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Finding the Fourth Proportional to 3,776.05, 5,664.48 and 1,585.81

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Solution

The fourth proportional to 3,776.05, 5,664.48 and 1,585.81 is: 2,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.05 : 5,664.48 = 1,585.81 : x
  2. Step 2: Convert to fraction form
    3,776.05/5,664.48 = 1,585.81/x
  3. Step 3: Cross multiply
    3,776.05x = 5,664.48 × 1,585.81
  4. Step 4: Simplify right side
    3,776.05x = 8,982,752.78
  5. Step 5: Solve for x
    x = 8,982,752.78/3,776.05
  6. Step 6: Final answer
    x = 2,378.88

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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.