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Finding the Fourth Proportional to 9,223.62, 12,728.10 and 5,190.54

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Solution

The fourth proportional to 9,223.62, 12,728.10 and 5,190.54 is: 7,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.62 : 12,728.10 = 5,190.54 : x
  2. Step 2: Convert to fraction form
    9,223.62/12,728.10 = 5,190.54/x
  3. Step 3: Cross multiply
    9,223.62x = 12,728.10 × 5,190.54
  4. Step 4: Simplify right side
    9,223.62x = 66,065,712.17
  5. Step 5: Solve for x
    x = 66,065,712.17/9,223.62
  6. Step 6: Final answer
    x = 7,162.67

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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.