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Finding the Fourth Proportional to 6,485.83, 9,728.97 and 3,711.22

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Solution

The fourth proportional to 6,485.83, 9,728.97 and 3,711.22 is: 5,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.83 : 9,728.97 = 3,711.22 : x
  2. Step 2: Convert to fraction form
    6,485.83/9,728.97 = 3,711.22/x
  3. Step 3: Cross multiply
    6,485.83x = 9,728.97 × 3,711.22
  4. Step 4: Simplify right side
    6,485.83x = 36,106,348.04
  5. Step 5: Solve for x
    x = 36,106,348.04/6,485.83
  6. Step 6: Final answer
    x = 5,566.96

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Double scale
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Similar ratio
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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.