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Finding the Fourth Proportional to 5,191.56, 7,785.72 and 1,728

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Solution

The fourth proportional to 5,191.56, 7,785.72 and 1,728 is: 2,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.56 : 7,785.72 = 1,728 : x
  2. Step 2: Convert to fraction form
    5,191.56/7,785.72 = 1,728/x
  3. Step 3: Cross multiply
    5,191.56x = 7,785.72 × 1,728
  4. Step 4: Simplify right side
    5,191.56x = 13,453,724.16
  5. Step 5: Solve for x
    x = 13,453,724.16/5,191.56
  6. Step 6: Final answer
    x = 2,591.46

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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.