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Finding the Fourth Proportional to 30,267.71, 41,770 and 16,840.22

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Solution

The fourth proportional to 30,267.71, 41,770 and 16,840.22 is: 23,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.71 : 41,770 = 16,840.22 : x
  2. Step 2: Convert to fraction form
    30,267.71/41,770 = 16,840.22/x
  3. Step 3: Cross multiply
    30,267.71x = 41,770 × 16,840.22
  4. Step 4: Simplify right side
    30,267.71x = 703,415,989.40
  5. Step 5: Solve for x
    x = 703,415,989.40/30,267.71
  6. Step 6: Final answer
    x = 23,239.82

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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.