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Finding the Fourth Proportional to 9,268.00, 12,748.36 and 8,128.06

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Solution

The fourth proportional to 9,268.00, 12,748.36 and 8,128.06 is: 11,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.00 : 12,748.36 = 8,128.06 : x
  2. Step 2: Convert to fraction form
    9,268.00/12,748.36 = 8,128.06/x
  3. Step 3: Cross multiply
    9,268.00x = 12,748.36 × 8,128.06
  4. Step 4: Simplify right side
    9,268.00x = 103,619,330.60
  5. Step 5: Solve for x
    x = 103,619,330.60/9,268.00
  6. Step 6: Final answer
    x = 11,180.34

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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.