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Finding the Fourth Proportional to 9,400.75, 12,969.81 and 5,364.68

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Solution

The fourth proportional to 9,400.75, 12,969.81 and 5,364.68 is: 7,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.75 : 12,969.81 = 5,364.68 : x
  2. Step 2: Convert to fraction form
    9,400.75/12,969.81 = 5,364.68/x
  3. Step 3: Cross multiply
    9,400.75x = 12,969.81 × 5,364.68
  4. Step 4: Simplify right side
    9,400.75x = 69,578,880.31
  5. Step 5: Solve for x
    x = 69,578,880.31/9,400.75
  6. Step 6: Final answer
    x = 7,401.42

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Half scale
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Double scale
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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.