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Finding the Fourth Proportional to 6,138.54, 9,210.54 and 3,216.16

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Solution

The fourth proportional to 6,138.54, 9,210.54 and 3,216.16 is: 4,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.54 : 9,210.54 = 3,216.16 : x
  2. Step 2: Convert to fraction form
    6,138.54/9,210.54 = 3,216.16/x
  3. Step 3: Cross multiply
    6,138.54x = 9,210.54 × 3,216.16
  4. Step 4: Simplify right side
    6,138.54x = 29,622,570.33
  5. Step 5: Solve for x
    x = 29,622,570.33/6,138.54
  6. Step 6: Final answer
    x = 4,825.67

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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.