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Finding the Fourth Proportional to 6,728.64, 9,285.12 and 4,629.12

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Solution

The fourth proportional to 6,728.64, 9,285.12 and 4,629.12 is: 6,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.64 : 9,285.12 = 4,629.12 : x
  2. Step 2: Convert to fraction form
    6,728.64/9,285.12 = 4,629.12/x
  3. Step 3: Cross multiply
    6,728.64x = 9,285.12 × 4,629.12
  4. Step 4: Simplify right side
    6,728.64x = 42,981,934.69
  5. Step 5: Solve for x
    x = 42,981,934.69/6,728.64
  6. Step 6: Final answer
    x = 6,387.91

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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.