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Finding the Fourth Proportional to 8,268.40, 12,391.53 and 7,389.82

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Solution

The fourth proportional to 8,268.40, 12,391.53 and 7,389.82 is: 11,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.40 : 12,391.53 = 7,389.82 : x
  2. Step 2: Convert to fraction form
    8,268.40/12,391.53 = 7,389.82/x
  3. Step 3: Cross multiply
    8,268.40x = 12,391.53 × 7,389.82
  4. Step 4: Simplify right side
    8,268.40x = 91,571,176.22
  5. Step 5: Solve for x
    x = 91,571,176.22/8,268.40
  6. Step 6: Final answer
    x = 11,074.84

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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.