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Finding the Fourth Proportional to 9,141.75, 13,712.63 and 2,216.25

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Solution

The fourth proportional to 9,141.75, 13,712.63 and 2,216.25 is: 3,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.75 : 13,712.63 = 2,216.25 : x
  2. Step 2: Convert to fraction form
    9,141.75/13,712.63 = 2,216.25/x
  3. Step 3: Cross multiply
    9,141.75x = 13,712.63 × 2,216.25
  4. Step 4: Simplify right side
    9,141.75x = 30,390,605.16
  5. Step 5: Solve for x
    x = 30,390,605.16/9,141.75
  6. Step 6: Final answer
    x = 3,324.38

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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.