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Finding the Fourth Proportional to 5,285.21, 7,928.02 and 2,363.54

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Solution

The fourth proportional to 5,285.21, 7,928.02 and 2,363.54 is: 3,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.21 : 7,928.02 = 2,363.54 : x
  2. Step 2: Convert to fraction form
    5,285.21/7,928.02 = 2,363.54/x
  3. Step 3: Cross multiply
    5,285.21x = 7,928.02 × 2,363.54
  4. Step 4: Simplify right side
    5,285.21x = 18,738,192.39
  5. Step 5: Solve for x
    x = 18,738,192.39/5,285.21
  6. Step 6: Final answer
    x = 3,545.40

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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.