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Finding the Fourth Proportional to 7,103.78, 9,794.09 and 4,861.80

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Solution

The fourth proportional to 7,103.78, 9,794.09 and 4,861.80 is: 6,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.78 : 9,794.09 = 4,861.80 : x
  2. Step 2: Convert to fraction form
    7,103.78/9,794.09 = 4,861.80/x
  3. Step 3: Cross multiply
    7,103.78x = 9,794.09 × 4,861.80
  4. Step 4: Simplify right side
    7,103.78x = 47,616,882.45
  5. Step 5: Solve for x
    x = 47,616,882.45/7,103.78
  6. Step 6: Final answer
    x = 6,703.04

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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.