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Finding the Fourth Proportional to 3,529, 5,295.93 and 1,220.50

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Solution

The fourth proportional to 3,529, 5,295.93 and 1,220.50 is: 1,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529 : 5,295.93 = 1,220.50 : x
  2. Step 2: Convert to fraction form
    3,529/5,295.93 = 1,220.50/x
  3. Step 3: Cross multiply
    3,529x = 5,295.93 × 1,220.50
  4. Step 4: Simplify right side
    3,529x = 6,463,682.57
  5. Step 5: Solve for x
    x = 6,463,682.57/3,529
  6. Step 6: Final answer
    x = 1,831.59

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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.