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Finding the Fourth Proportional to 33,630, 46,409.40 and 18,726

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Solution

The fourth proportional to 33,630, 46,409.40 and 18,726 is: 25,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,630 : 46,409.40 = 18,726 : x
  2. Step 2: Convert to fraction form
    33,630/46,409.40 = 18,726/x
  3. Step 3: Cross multiply
    33,630x = 46,409.40 × 18,726
  4. Step 4: Simplify right side
    33,630x = 869,062,424.40
  5. Step 5: Solve for x
    x = 869,062,424.40/33,630
  6. Step 6: Final answer
    x = 25,841.88

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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.