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Finding the Fourth Proportional to 6,561.89, 9,055.07 and 3,728.89

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Solution

The fourth proportional to 6,561.89, 9,055.07 and 3,728.89 is: 5,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.89 : 9,055.07 = 3,728.89 : x
  2. Step 2: Convert to fraction form
    6,561.89/9,055.07 = 3,728.89/x
  3. Step 3: Cross multiply
    6,561.89x = 9,055.07 × 3,728.89
  4. Step 4: Simplify right side
    6,561.89x = 33,765,296.05
  5. Step 5: Solve for x
    x = 33,765,296.05/6,561.89
  6. Step 6: Final answer
    x = 5,145.67

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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.