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Finding the Fourth Proportional to 6,855.78, 10,321.02 and 4,678.20

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Solution

The fourth proportional to 6,855.78, 10,321.02 and 4,678.20 is: 7,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.78 : 10,321.02 = 4,678.20 : x
  2. Step 2: Convert to fraction form
    6,855.78/10,321.02 = 4,678.20/x
  3. Step 3: Cross multiply
    6,855.78x = 10,321.02 × 4,678.20
  4. Step 4: Simplify right side
    6,855.78x = 48,283,795.76
  5. Step 5: Solve for x
    x = 48,283,795.76/6,855.78
  6. Step 6: Final answer
    x = 7,042.79

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.