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Finding the Fourth Proportional to 5,969.99, 8,235.94 and 3,978.61

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Solution

The fourth proportional to 5,969.99, 8,235.94 and 3,978.61 is: 5,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.99 : 8,235.94 = 3,978.61 : x
  2. Step 2: Convert to fraction form
    5,969.99/8,235.94 = 3,978.61/x
  3. Step 3: Cross multiply
    5,969.99x = 8,235.94 × 3,978.61
  4. Step 4: Simplify right side
    5,969.99x = 32,767,593.24
  5. Step 5: Solve for x
    x = 32,767,593.24/5,969.99
  6. Step 6: Final answer
    x = 5,488.72

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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.