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Finding the Fourth Proportional to 3,785.53, 5,678.16 and 1,812.58

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Solution

The fourth proportional to 3,785.53, 5,678.16 and 1,812.58 is: 2,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.53 : 5,678.16 = 1,812.58 : x
  2. Step 2: Convert to fraction form
    3,785.53/5,678.16 = 1,812.58/x
  3. Step 3: Cross multiply
    3,785.53x = 5,678.16 × 1,812.58
  4. Step 4: Simplify right side
    3,785.53x = 10,292,119.25
  5. Step 5: Solve for x
    x = 10,292,119.25/3,785.53
  6. Step 6: Final answer
    x = 2,718.81

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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.