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Finding the Fourth Proportional to 21,805.40, 32,756.70 and 20,919.80

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Solution

The fourth proportional to 21,805.40, 32,756.70 and 20,919.80 is: 31,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.40 : 32,756.70 = 20,919.80 : x
  2. Step 2: Convert to fraction form
    21,805.40/32,756.70 = 20,919.80/x
  3. Step 3: Cross multiply
    21,805.40x = 32,756.70 × 20,919.80
  4. Step 4: Simplify right side
    21,805.40x = 685,263,612.66
  5. Step 5: Solve for x
    x = 685,263,612.66/21,805.40
  6. Step 6: Final answer
    x = 31,426.33

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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.