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Finding the Fourth Proportional to 8,561.85, 11,739.75 and 7,719.25

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Solution

The fourth proportional to 8,561.85, 11,739.75 and 7,719.25 is: 10,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.85 : 11,739.75 = 7,719.25 : x
  2. Step 2: Convert to fraction form
    8,561.85/11,739.75 = 7,719.25/x
  3. Step 3: Cross multiply
    8,561.85x = 11,739.75 × 7,719.25
  4. Step 4: Simplify right side
    8,561.85x = 90,622,065.19
  5. Step 5: Solve for x
    x = 90,622,065.19/8,561.85
  6. Step 6: Final answer
    x = 10,584.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.