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Finding the Fourth Proportional to 33,830, 46,685.40 and 18,926

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Solution

The fourth proportional to 33,830, 46,685.40 and 18,926 is: 26,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830 : 46,685.40 = 18,926 : x
  2. Step 2: Convert to fraction form
    33,830/46,685.40 = 18,926/x
  3. Step 3: Cross multiply
    33,830x = 46,685.40 × 18,926
  4. Step 4: Simplify right side
    33,830x = 883,567,880.40
  5. Step 5: Solve for x
    x = 883,567,880.40/33,830
  6. Step 6: Final answer
    x = 26,117.88

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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.