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Finding the Fourth Proportional to 6,728.57, 9,275.71 and 4,456.11

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Solution

The fourth proportional to 6,728.57, 9,275.71 and 4,456.11 is: 6,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.57 : 9,275.71 = 4,456.11 : x
  2. Step 2: Convert to fraction form
    6,728.57/9,275.71 = 4,456.11/x
  3. Step 3: Cross multiply
    6,728.57x = 9,275.71 × 4,456.11
  4. Step 4: Simplify right side
    6,728.57x = 41,333,584.09
  5. Step 5: Solve for x
    x = 41,333,584.09/6,728.57
  6. Step 6: Final answer
    x = 6,143.00

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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.