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Finding the Fourth Proportional to 3,845.99, 5,768.98 and 2,969.76

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Solution

The fourth proportional to 3,845.99, 5,768.98 and 2,969.76 is: 4,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.99 : 5,768.98 = 2,969.76 : x
  2. Step 2: Convert to fraction form
    3,845.99/5,768.98 = 2,969.76/x
  3. Step 3: Cross multiply
    3,845.99x = 5,768.98 × 2,969.76
  4. Step 4: Simplify right side
    3,845.99x = 17,132,486.04
  5. Step 5: Solve for x
    x = 17,132,486.04/3,845.99
  6. Step 6: Final answer
    x = 4,454.64

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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.