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Finding the Fourth Proportional to 35,537, 53,305.78 and 12,163.64

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Solution

The fourth proportional to 35,537, 53,305.78 and 12,163.64 is: 18,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,537 : 53,305.78 = 12,163.64 : x
  2. Step 2: Convert to fraction form
    35,537/53,305.78 = 12,163.64/x
  3. Step 3: Cross multiply
    35,537x = 53,305.78 × 12,163.64
  4. Step 4: Simplify right side
    35,537x = 648,392,317.84
  5. Step 5: Solve for x
    x = 648,392,317.84/35,537
  6. Step 6: Final answer
    x = 18,245.56

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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.