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Finding the Fourth Proportional to 7,428.17, 11,146.88 and 6,736.09

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Solution

The fourth proportional to 7,428.17, 11,146.88 and 6,736.09 is: 10,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.17 : 11,146.88 = 6,736.09 : x
  2. Step 2: Convert to fraction form
    7,428.17/11,146.88 = 6,736.09/x
  3. Step 3: Cross multiply
    7,428.17x = 11,146.88 × 6,736.09
  4. Step 4: Simplify right side
    7,428.17x = 75,086,386.90
  5. Step 5: Solve for x
    x = 75,086,386.90/7,428.17
  6. Step 6: Final answer
    x = 10,108.33

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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.