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Finding the Fourth Proportional to 3,785.99, 5,679.90 and 1,320.83

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Solution

The fourth proportional to 3,785.99, 5,679.90 and 1,320.83 is: 1,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.99 : 5,679.90 = 1,320.83 : x
  2. Step 2: Convert to fraction form
    3,785.99/5,679.90 = 1,320.83/x
  3. Step 3: Cross multiply
    3,785.99x = 5,679.90 × 1,320.83
  4. Step 4: Simplify right side
    3,785.99x = 7,502,153.92
  5. Step 5: Solve for x
    x = 7,502,153.92/3,785.99
  6. Step 6: Final answer
    x = 1,981.56

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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.