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Finding the Fourth Proportional to 6,561.04, 9,055.20 and 3,910

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Solution

The fourth proportional to 6,561.04, 9,055.20 and 3,910 is: 5,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.04 : 9,055.20 = 3,910 : x
  2. Step 2: Convert to fraction form
    6,561.04/9,055.20 = 3,910/x
  3. Step 3: Cross multiply
    6,561.04x = 9,055.20 × 3,910
  4. Step 4: Simplify right side
    6,561.04x = 35,405,832
  5. Step 5: Solve for x
    x = 35,405,832/6,561.04
  6. Step 6: Final answer
    x = 5,396.37

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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.