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Finding the Fourth Proportional to 9,144.84, 13,684.44 and 7,679.54

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Solution

The fourth proportional to 9,144.84, 13,684.44 and 7,679.54 is: 11,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.84 : 13,684.44 = 7,679.54 : x
  2. Step 2: Convert to fraction form
    9,144.84/13,684.44 = 7,679.54/x
  3. Step 3: Cross multiply
    9,144.84x = 13,684.44 × 7,679.54
  4. Step 4: Simplify right side
    9,144.84x = 105,090,204.36
  5. Step 5: Solve for x
    x = 105,090,204.36/9,144.84
  6. Step 6: Final answer
    x = 11,491.75

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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.