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Finding the Fourth Proportional to 8,157.84, 12,230.78 and 2,607.99

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Solution

The fourth proportional to 8,157.84, 12,230.78 and 2,607.99 is: 3,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.84 : 12,230.78 = 2,607.99 : x
  2. Step 2: Convert to fraction form
    8,157.84/12,230.78 = 2,607.99/x
  3. Step 3: Cross multiply
    8,157.84x = 12,230.78 × 2,607.99
  4. Step 4: Simplify right side
    8,157.84x = 31,897,738.89
  5. Step 5: Solve for x
    x = 31,897,738.89/8,157.84
  6. Step 6: Final answer
    x = 3,910.07

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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.