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Finding the Fourth Proportional to 33,783.20, 50,689.20 and 21,312.80

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Solution

The fourth proportional to 33,783.20, 50,689.20 and 21,312.80 is: 31,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.20 : 50,689.20 = 21,312.80 : x
  2. Step 2: Convert to fraction form
    33,783.20/50,689.20 = 21,312.80/x
  3. Step 3: Cross multiply
    33,783.20x = 50,689.20 × 21,312.80
  4. Step 4: Simplify right side
    33,783.20x = 1,080,328,781.76
  5. Step 5: Solve for x
    x = 1,080,328,781.76/33,783.20
  6. Step 6: Final answer
    x = 31,978.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.