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Finding the Fourth Proportional to 33,680, 46,478.40 and 18,776

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Solution

The fourth proportional to 33,680, 46,478.40 and 18,776 is: 25,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,680 : 46,478.40 = 18,776 : x
  2. Step 2: Convert to fraction form
    33,680/46,478.40 = 18,776/x
  3. Step 3: Cross multiply
    33,680x = 46,478.40 × 18,776
  4. Step 4: Simplify right side
    33,680x = 872,678,438.40
  5. Step 5: Solve for x
    x = 872,678,438.40/33,680
  6. Step 6: Final answer
    x = 25,910.88

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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.