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Finding the Fourth Proportional to 6,561.94, 9,055.72 and 3,729.79

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Solution

The fourth proportional to 6,561.94, 9,055.72 and 3,729.79 is: 5,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.94 : 9,055.72 = 3,729.79 : x
  2. Step 2: Convert to fraction form
    6,561.94/9,055.72 = 3,729.79/x
  3. Step 3: Cross multiply
    6,561.94x = 9,055.72 × 3,729.79
  4. Step 4: Simplify right side
    6,561.94x = 33,775,928.90
  5. Step 5: Solve for x
    x = 33,775,928.90/6,561.94
  6. Step 6: Final answer
    x = 5,147.25

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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.