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Finding the Fourth Proportional to 6,144.03, 9,218.04 and 2,857.05

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Solution

The fourth proportional to 6,144.03, 9,218.04 and 2,857.05 is: 4,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.03 : 9,218.04 = 2,857.05 : x
  2. Step 2: Convert to fraction form
    6,144.03/9,218.04 = 2,857.05/x
  3. Step 3: Cross multiply
    6,144.03x = 9,218.04 × 2,857.05
  4. Step 4: Simplify right side
    6,144.03x = 26,336,401.18
  5. Step 5: Solve for x
    x = 26,336,401.18/6,144.03
  6. Step 6: Final answer
    x = 4,286.50

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Half scale
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Double scale
Find fourth proportional to 6,145.03, 9,219.54 and 2,858.05
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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.