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Finding the Fourth Proportional to 3,190.84, 4,795.98 and 3,122.84

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Solution

The fourth proportional to 3,190.84, 4,795.98 and 3,122.84 is: 4,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.84 : 4,795.98 = 3,122.84 : x
  2. Step 2: Convert to fraction form
    3,190.84/4,795.98 = 3,122.84/x
  3. Step 3: Cross multiply
    3,190.84x = 4,795.98 × 3,122.84
  4. Step 4: Simplify right side
    3,190.84x = 14,977,078.18
  5. Step 5: Solve for x
    x = 14,977,078.18/3,190.84
  6. Step 6: Final answer
    x = 4,693.77

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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.