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Finding the Fourth Proportional to 10,616, 15,923.36 and 3,220.48

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Solution

The fourth proportional to 10,616, 15,923.36 and 3,220.48 is: 4,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616 : 15,923.36 = 3,220.48 : x
  2. Step 2: Convert to fraction form
    10,616/15,923.36 = 3,220.48/x
  3. Step 3: Cross multiply
    10,616x = 15,923.36 × 3,220.48
  4. Step 4: Simplify right side
    10,616x = 51,280,862.41
  5. Step 5: Solve for x
    x = 51,280,862.41/10,616
  6. Step 6: Final answer
    x = 4,830.53

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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.