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Finding the Fourth Proportional to 9,230.81, 12,736.06 and 5,251.28

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Solution

The fourth proportional to 9,230.81, 12,736.06 and 5,251.28 is: 7,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.81 : 12,736.06 = 5,251.28 : x
  2. Step 2: Convert to fraction form
    9,230.81/12,736.06 = 5,251.28/x
  3. Step 3: Cross multiply
    9,230.81x = 12,736.06 × 5,251.28
  4. Step 4: Simplify right side
    9,230.81x = 66,880,617.16
  5. Step 5: Solve for x
    x = 66,880,617.16/9,230.81
  6. Step 6: Final answer
    x = 7,245.37

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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.