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Finding the Fourth Proportional to 6,711.77, 9,262.83 and 3,728.19

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Solution

The fourth proportional to 6,711.77, 9,262.83 and 3,728.19 is: 5,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.77 : 9,262.83 = 3,728.19 : x
  2. Step 2: Convert to fraction form
    6,711.77/9,262.83 = 3,728.19/x
  3. Step 3: Cross multiply
    6,711.77x = 9,262.83 × 3,728.19
  4. Step 4: Simplify right side
    6,711.77x = 34,533,590.18
  5. Step 5: Solve for x
    x = 34,533,590.18/6,711.77
  6. Step 6: Final answer
    x = 5,145.23

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Half scale
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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.