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Finding the Fourth Proportional to 3,785.77, 5,678.70 and 1,188.70

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Solution

The fourth proportional to 3,785.77, 5,678.70 and 1,188.70 is: 1,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.77 : 5,678.70 = 1,188.70 : x
  2. Step 2: Convert to fraction form
    3,785.77/5,678.70 = 1,188.70/x
  3. Step 3: Cross multiply
    3,785.77x = 5,678.70 × 1,188.70
  4. Step 4: Simplify right side
    3,785.77x = 6,750,287.32
  5. Step 5: Solve for x
    x = 6,750,287.32/3,785.77
  6. Step 6: Final answer
    x = 1,783.07

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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.