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Finding the Fourth Proportional to 2,171.99, 3,257.93 and 528.54

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Solution

The fourth proportional to 2,171.99, 3,257.93 and 528.54 is: 792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.99 : 3,257.93 = 528.54 : x
  2. Step 2: Convert to fraction form
    2,171.99/3,257.93 = 528.54/x
  3. Step 3: Cross multiply
    2,171.99x = 3,257.93 × 528.54
  4. Step 4: Simplify right side
    2,171.99x = 1,721,946.32
  5. Step 5: Solve for x
    x = 1,721,946.32/2,171.99
  6. Step 6: Final answer
    x = 792.80

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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.