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Finding the Fourth Proportional to 6,330, 8,735.40 and 3,536.16

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Solution

The fourth proportional to 6,330, 8,735.40 and 3,536.16 is: 4,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330 : 8,735.40 = 3,536.16 : x
  2. Step 2: Convert to fraction form
    6,330/8,735.40 = 3,536.16/x
  3. Step 3: Cross multiply
    6,330x = 8,735.40 × 3,536.16
  4. Step 4: Simplify right side
    6,330x = 30,889,772.06
  5. Step 5: Solve for x
    x = 30,889,772.06/6,330
  6. Step 6: Final answer
    x = 4,879.90

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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.