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Finding the Fourth Proportional to 6,415.99, 8,856.42 and 3,765.62

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Solution

The fourth proportional to 6,415.99, 8,856.42 and 3,765.62 is: 5,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.99 : 8,856.42 = 3,765.62 : x
  2. Step 2: Convert to fraction form
    6,415.99/8,856.42 = 3,765.62/x
  3. Step 3: Cross multiply
    6,415.99x = 8,856.42 × 3,765.62
  4. Step 4: Simplify right side
    6,415.99x = 33,349,912.28
  5. Step 5: Solve for x
    x = 33,349,912.28/6,415.99
  6. Step 6: Final answer
    x = 5,197.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.