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Finding the Fourth Proportional to 37,128, 55,693.92 and 12,165.92

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Solution

The fourth proportional to 37,128, 55,693.92 and 12,165.92 is: 18,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,128 : 55,693.92 = 12,165.92 : x
  2. Step 2: Convert to fraction form
    37,128/55,693.92 = 12,165.92/x
  3. Step 3: Cross multiply
    37,128x = 55,693.92 × 12,165.92
  4. Step 4: Simplify right side
    37,128x = 677,567,775.21
  5. Step 5: Solve for x
    x = 677,567,775.21/37,128
  6. Step 6: Final answer
    x = 18,249.51

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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.