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Finding the Fourth Proportional to 3,785.91, 5,678.02 and 1,188.24

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Solution

The fourth proportional to 3,785.91, 5,678.02 and 1,188.24 is: 1,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.91 : 5,678.02 = 1,188.24 : x
  2. Step 2: Convert to fraction form
    3,785.91/5,678.02 = 1,188.24/x
  3. Step 3: Cross multiply
    3,785.91x = 5,678.02 × 1,188.24
  4. Step 4: Simplify right side
    3,785.91x = 6,746,850.48
  5. Step 5: Solve for x
    x = 6,746,850.48/3,785.91
  6. Step 6: Final answer
    x = 1,782.09

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1.5x scale

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.