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Finding the Fourth Proportional to 33,840, 46,688.40 and 21,912.48

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Solution

The fourth proportional to 33,840, 46,688.40 and 21,912.48 is: 30,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840 : 46,688.40 = 21,912.48 : x
  2. Step 2: Convert to fraction form
    33,840/46,688.40 = 21,912.48/x
  3. Step 3: Cross multiply
    33,840x = 46,688.40 × 21,912.48
  4. Step 4: Simplify right side
    33,840x = 1,023,058,631.23
  5. Step 5: Solve for x
    x = 1,023,058,631.23/33,840
  6. Step 6: Final answer
    x = 30,232.23

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1.5x scale

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.