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Finding the Fourth Proportional to 13,077.86, 18,047.39 and 7,109.55

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Solution

The fourth proportional to 13,077.86, 18,047.39 and 7,109.55 is: 9,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.86 : 18,047.39 = 7,109.55 : x
  2. Step 2: Convert to fraction form
    13,077.86/18,047.39 = 7,109.55/x
  3. Step 3: Cross multiply
    13,077.86x = 18,047.39 × 7,109.55
  4. Step 4: Simplify right side
    13,077.86x = 128,308,786.03
  5. Step 5: Solve for x
    x = 128,308,786.03/13,077.86
  6. Step 6: Final answer
    x = 9,811.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.