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Finding the Fourth Proportional to 11,394.36, 15,728.31 and 7,811.33

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Solution

The fourth proportional to 11,394.36, 15,728.31 and 7,811.33 is: 10,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.36 : 15,728.31 = 7,811.33 : x
  2. Step 2: Convert to fraction form
    11,394.36/15,728.31 = 7,811.33/x
  3. Step 3: Cross multiply
    11,394.36x = 15,728.31 × 7,811.33
  4. Step 4: Simplify right side
    11,394.36x = 122,858,941.11
  5. Step 5: Solve for x
    x = 122,858,941.11/11,394.36
  6. Step 6: Final answer
    x = 10,782.43

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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.