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Finding the Fourth Proportional to 23,783.60, 35,649.80 and 8,986.80

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Solution

The fourth proportional to 23,783.60, 35,649.80 and 8,986.80 is: 13,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.60 : 35,649.80 = 8,986.80 : x
  2. Step 2: Convert to fraction form
    23,783.60/35,649.80 = 8,986.80/x
  3. Step 3: Cross multiply
    23,783.60x = 35,649.80 × 8,986.80
  4. Step 4: Simplify right side
    23,783.60x = 320,377,622.64
  5. Step 5: Solve for x
    x = 320,377,622.64/23,783.60
  6. Step 6: Final answer
    x = 13,470.53

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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.