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Finding the Fourth Proportional to 6,391.51, 9,584.22 and 2,231.01

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Solution

The fourth proportional to 6,391.51, 9,584.22 and 2,231.01 is: 3,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.51 : 9,584.22 = 2,231.01 : x
  2. Step 2: Convert to fraction form
    6,391.51/9,584.22 = 2,231.01/x
  3. Step 3: Cross multiply
    6,391.51x = 9,584.22 × 2,231.01
  4. Step 4: Simplify right side
    6,391.51x = 21,382,490.66
  5. Step 5: Solve for x
    x = 21,382,490.66/6,391.51
  6. Step 6: Final answer
    x = 3,345.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.