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Finding the Fourth Proportional to 13,091.96, 18,060.02 and 7,783

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Solution

The fourth proportional to 13,091.96, 18,060.02 and 7,783 is: 10,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.96 : 18,060.02 = 7,783 : x
  2. Step 2: Convert to fraction form
    13,091.96/18,060.02 = 7,783/x
  3. Step 3: Cross multiply
    13,091.96x = 18,060.02 × 7,783
  4. Step 4: Simplify right side
    13,091.96x = 140,561,135.66
  5. Step 5: Solve for x
    x = 140,561,135.66/13,091.96
  6. Step 6: Final answer
    x = 10,736.45

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1.5x scale

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.