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Finding the Fourth Proportional to 7,859.20, 11,722.58 and 7,314.88

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Solution

The fourth proportional to 7,859.20, 11,722.58 and 7,314.88 is: 10,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.20 : 11,722.58 = 7,314.88 : x
  2. Step 2: Convert to fraction form
    7,859.20/11,722.58 = 7,314.88/x
  3. Step 3: Cross multiply
    7,859.20x = 11,722.58 × 7,314.88
  4. Step 4: Simplify right side
    7,859.20x = 85,749,265.99
  5. Step 5: Solve for x
    x = 85,749,265.99/7,859.20
  6. Step 6: Final answer
    x = 10,910.69

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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.