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Finding the Fourth Proportional to 7,859.88, 11,774.16 and 3,694.20

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Solution

The fourth proportional to 7,859.88, 11,774.16 and 3,694.20 is: 5,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.88 : 11,774.16 = 3,694.20 : x
  2. Step 2: Convert to fraction form
    7,859.88/11,774.16 = 3,694.20/x
  3. Step 3: Cross multiply
    7,859.88x = 11,774.16 × 3,694.20
  4. Step 4: Simplify right side
    7,859.88x = 43,496,101.87
  5. Step 5: Solve for x
    x = 43,496,101.87/7,859.88
  6. Step 6: Final answer
    x = 5,533.94

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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.