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Finding the Fourth Proportional to 6,348.16, 8,760.32 and 3,696.64

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Solution

The fourth proportional to 6,348.16, 8,760.32 and 3,696.64 is: 5,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.16 : 8,760.32 = 3,696.64 : x
  2. Step 2: Convert to fraction form
    6,348.16/8,760.32 = 3,696.64/x
  3. Step 3: Cross multiply
    6,348.16x = 8,760.32 × 3,696.64
  4. Step 4: Simplify right side
    6,348.16x = 32,383,749.32
  5. Step 5: Solve for x
    x = 32,383,749.32/6,348.16
  6. Step 6: Final answer
    x = 5,101.28

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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.