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Finding the Fourth Proportional to 12,899.76, 17,805.45 and 8,424.21

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Solution

The fourth proportional to 12,899.76, 17,805.45 and 8,424.21 is: 11,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.76 : 17,805.45 = 8,424.21 : x
  2. Step 2: Convert to fraction form
    12,899.76/17,805.45 = 8,424.21/x
  3. Step 3: Cross multiply
    12,899.76x = 17,805.45 × 8,424.21
  4. Step 4: Simplify right side
    12,899.76x = 149,996,849.94
  5. Step 5: Solve for x
    x = 149,996,849.94/12,899.76
  6. Step 6: Final answer
    x = 11,627.88

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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.