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Finding the Fourth Proportional to 5,170.50, 7,768.59 and 3,322.50

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Solution

The fourth proportional to 5,170.50, 7,768.59 and 3,322.50 is: 4,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.50 : 7,768.59 = 3,322.50 : x
  2. Step 2: Convert to fraction form
    5,170.50/7,768.59 = 3,322.50/x
  3. Step 3: Cross multiply
    5,170.50x = 7,768.59 × 3,322.50
  4. Step 4: Simplify right side
    5,170.50x = 25,811,140.28
  5. Step 5: Solve for x
    x = 25,811,140.28/5,170.50
  6. Step 6: Final answer
    x = 4,992.00

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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.