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Finding the Fourth Proportional to 8,370, 11,553.84 and 5,583.60

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Solution

The fourth proportional to 8,370, 11,553.84 and 5,583.60 is: 7,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 11,553.84 = 5,583.60 : x
  2. Step 2: Convert to fraction form
    8,370/11,553.84 = 5,583.60/x
  3. Step 3: Cross multiply
    8,370x = 11,553.84 × 5,583.60
  4. Step 4: Simplify right side
    8,370x = 64,512,021.02
  5. Step 5: Solve for x
    x = 64,512,021.02/8,370
  6. Step 6: Final answer
    x = 7,707.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.