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Finding the Fourth Proportional to 9,914.41, 13,679.64 and 6,728.14

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Solution

The fourth proportional to 9,914.41, 13,679.64 and 6,728.14 is: 9,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.41 : 13,679.64 = 6,728.14 : x
  2. Step 2: Convert to fraction form
    9,914.41/13,679.64 = 6,728.14/x
  3. Step 3: Cross multiply
    9,914.41x = 13,679.64 × 6,728.14
  4. Step 4: Simplify right side
    9,914.41x = 92,038,533.07
  5. Step 5: Solve for x
    x = 92,038,533.07/9,914.41
  6. Step 6: Final answer
    x = 9,283.31

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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.