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Finding the Fourth Proportional to 3,880.59, 5,784.94 and 3,820.65

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Solution

The fourth proportional to 3,880.59, 5,784.94 and 3,820.65 is: 5,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.59 : 5,784.94 = 3,820.65 : x
  2. Step 2: Convert to fraction form
    3,880.59/5,784.94 = 3,820.65/x
  3. Step 3: Cross multiply
    3,880.59x = 5,784.94 × 3,820.65
  4. Step 4: Simplify right side
    3,880.59x = 22,102,231.01
  5. Step 5: Solve for x
    x = 22,102,231.01/3,880.59
  6. Step 6: Final answer
    x = 5,695.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.