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Finding the Fourth Proportional to 30,012, 41,416.56 and 16,764

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Solution

The fourth proportional to 30,012, 41,416.56 and 16,764 is: 23,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012 : 41,416.56 = 16,764 : x
  2. Step 2: Convert to fraction form
    30,012/41,416.56 = 16,764/x
  3. Step 3: Cross multiply
    30,012x = 41,416.56 × 16,764
  4. Step 4: Simplify right side
    30,012x = 694,307,211.84
  5. Step 5: Solve for x
    x = 694,307,211.84/30,012
  6. Step 6: Final answer
    x = 23,134.32

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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.