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Finding the Fourth Proportional to 13,707.94, 18,914.90 and 8,040.55

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Solution

The fourth proportional to 13,707.94, 18,914.90 and 8,040.55 is: 11,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.94 : 18,914.90 = 8,040.55 : x
  2. Step 2: Convert to fraction form
    13,707.94/18,914.90 = 8,040.55/x
  3. Step 3: Cross multiply
    13,707.94x = 18,914.90 × 8,040.55
  4. Step 4: Simplify right side
    13,707.94x = 152,086,199.20
  5. Step 5: Solve for x
    x = 152,086,199.20/13,707.94
  6. Step 6: Final answer
    x = 11,094.75

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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.