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Finding the Fourth Proportional to 7,783.79, 11,677.92 and 3,836.22

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Solution

The fourth proportional to 7,783.79, 11,677.92 and 3,836.22 is: 5,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.79 : 11,677.92 = 3,836.22 : x
  2. Step 2: Convert to fraction form
    7,783.79/11,677.92 = 3,836.22/x
  3. Step 3: Cross multiply
    7,783.79x = 11,677.92 × 3,836.22
  4. Step 4: Simplify right side
    7,783.79x = 44,799,070.26
  5. Step 5: Solve for x
    x = 44,799,070.26/7,783.79
  6. Step 6: Final answer
    x = 5,755.43

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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.