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Finding the Fourth Proportional to 9,287.46, 13,949.42 and 7,211.63

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Solution

The fourth proportional to 9,287.46, 13,949.42 and 7,211.63 is: 10,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.46 : 13,949.42 = 7,211.63 : x
  2. Step 2: Convert to fraction form
    9,287.46/13,949.42 = 7,211.63/x
  3. Step 3: Cross multiply
    9,287.46x = 13,949.42 × 7,211.63
  4. Step 4: Simplify right side
    9,287.46x = 100,598,054.57
  5. Step 5: Solve for x
    x = 100,598,054.57/9,287.46
  6. Step 6: Final answer
    x = 10,831.60

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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.