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Finding the Fourth Proportional to 5,212.72, 7,822.16 and 1,928.08

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Solution

The fourth proportional to 5,212.72, 7,822.16 and 1,928.08 is: 2,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.72 : 7,822.16 = 1,928.08 : x
  2. Step 2: Convert to fraction form
    5,212.72/7,822.16 = 1,928.08/x
  3. Step 3: Cross multiply
    5,212.72x = 7,822.16 × 1,928.08
  4. Step 4: Simplify right side
    5,212.72x = 15,081,750.25
  5. Step 5: Solve for x
    x = 15,081,750.25/5,212.72
  6. Step 6: Final answer
    x = 2,893.26

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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.