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Finding the Fourth Proportional to 13,055, 18,015.78 and 7,086.86

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Solution

The fourth proportional to 13,055, 18,015.78 and 7,086.86 is: 9,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055 : 18,015.78 = 7,086.86 : x
  2. Step 2: Convert to fraction form
    13,055/18,015.78 = 7,086.86/x
  3. Step 3: Cross multiply
    13,055x = 18,015.78 × 7,086.86
  4. Step 4: Simplify right side
    13,055x = 127,675,310.65
  5. Step 5: Solve for x
    x = 127,675,310.65/13,055
  6. Step 6: Final answer
    x = 9,779.80

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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.