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Finding the Fourth Proportional to 3,785.87, 5,678.82 and 1,320.68

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Solution

The fourth proportional to 3,785.87, 5,678.82 and 1,320.68 is: 1,981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.87 : 5,678.82 = 1,320.68 : x
  2. Step 2: Convert to fraction form
    3,785.87/5,678.82 = 1,320.68/x
  3. Step 3: Cross multiply
    3,785.87x = 5,678.82 × 1,320.68
  4. Step 4: Simplify right side
    3,785.87x = 7,499,875.60
  5. Step 5: Solve for x
    x = 7,499,875.60/3,785.87
  6. Step 6: Final answer
    x = 1,981.02

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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.