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Finding the Fourth Proportional to 3,785.78, 5,679.62 and 1,320.64

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Solution

The fourth proportional to 3,785.78, 5,679.62 and 1,320.64 is: 1,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.78 : 5,679.62 = 1,320.64 : x
  2. Step 2: Convert to fraction form
    3,785.78/5,679.62 = 1,320.64/x
  3. Step 3: Cross multiply
    3,785.78x = 5,679.62 × 1,320.64
  4. Step 4: Simplify right side
    3,785.78x = 7,500,717.51
  5. Step 5: Solve for x
    x = 7,500,717.51/3,785.78
  6. Step 6: Final answer
    x = 1,981.29

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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.