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Finding the Fourth Proportional to 12,770.08, 17,623.13 and 7,027.76

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Solution

The fourth proportional to 12,770.08, 17,623.13 and 7,027.76 is: 9,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.08 : 17,623.13 = 7,027.76 : x
  2. Step 2: Convert to fraction form
    12,770.08/17,623.13 = 7,027.76/x
  3. Step 3: Cross multiply
    12,770.08x = 17,623.13 × 7,027.76
  4. Step 4: Simplify right side
    12,770.08x = 123,851,128.09
  5. Step 5: Solve for x
    x = 123,851,128.09/12,770.08
  6. Step 6: Final answer
    x = 9,698.54

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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.