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Finding the Fourth Proportional to 5,285, 7,928.04 and 1,822.25

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Solution

The fourth proportional to 5,285, 7,928.04 and 1,822.25 is: 2,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285 : 7,928.04 = 1,822.25 : x
  2. Step 2: Convert to fraction form
    5,285/7,928.04 = 1,822.25/x
  3. Step 3: Cross multiply
    5,285x = 7,928.04 × 1,822.25
  4. Step 4: Simplify right side
    5,285x = 14,446,870.89
  5. Step 5: Solve for x
    x = 14,446,870.89/5,285
  6. Step 6: Final answer
    x = 2,733.56

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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.