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Finding the Fourth Proportional to 33,931, 46,824.80 and 20,683

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Solution

The fourth proportional to 33,931, 46,824.80 and 20,683 is: 28,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,931 : 46,824.80 = 20,683 : x
  2. Step 2: Convert to fraction form
    33,931/46,824.80 = 20,683/x
  3. Step 3: Cross multiply
    33,931x = 46,824.80 × 20,683
  4. Step 4: Simplify right side
    33,931x = 968,477,338.40
  5. Step 5: Solve for x
    x = 968,477,338.40/33,931
  6. Step 6: Final answer
    x = 28,542.55

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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.