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Finding the Fourth Proportional to 36,708.70, 55,009 and 16,420.86

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Solution

The fourth proportional to 36,708.70, 55,009 and 16,420.86 is: 24,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,708.70 : 55,009 = 16,420.86 : x
  2. Step 2: Convert to fraction form
    36,708.70/55,009 = 16,420.86/x
  3. Step 3: Cross multiply
    36,708.70x = 55,009 × 16,420.86
  4. Step 4: Simplify right side
    36,708.70x = 903,295,087.74
  5. Step 5: Solve for x
    x = 903,295,087.74/36,708.70
  6. Step 6: Final answer
    x = 24,607.11

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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.