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Finding the Fourth Proportional to 12,824.68, 17,696.10 and 8,115.40

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Solution

The fourth proportional to 12,824.68, 17,696.10 and 8,115.40 is: 11,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.68 : 17,696.10 = 8,115.40 : x
  2. Step 2: Convert to fraction form
    12,824.68/17,696.10 = 8,115.40/x
  3. Step 3: Cross multiply
    12,824.68x = 17,696.10 × 8,115.40
  4. Step 4: Simplify right side
    12,824.68x = 143,610,929.94
  5. Step 5: Solve for x
    x = 143,610,929.94/12,824.68
  6. Step 6: Final answer
    x = 11,198.01

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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.