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Finding the Fourth Proportional to 12,813.56, 17,678.56 and 7,147.39

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Solution

The fourth proportional to 12,813.56, 17,678.56 and 7,147.39 is: 9,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.56 : 17,678.56 = 7,147.39 : x
  2. Step 2: Convert to fraction form
    12,813.56/17,678.56 = 7,147.39/x
  3. Step 3: Cross multiply
    12,813.56x = 17,678.56 × 7,147.39
  4. Step 4: Simplify right side
    12,813.56x = 126,355,575.08
  5. Step 5: Solve for x
    x = 126,355,575.08/12,813.56
  6. Step 6: Final answer
    x = 9,861.09

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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.