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Finding the Fourth Proportional to 12,696.63, 19,037.65 and 6,766.22

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Solution

The fourth proportional to 12,696.63, 19,037.65 and 6,766.22 is: 10,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.63 : 19,037.65 = 6,766.22 : x
  2. Step 2: Convert to fraction form
    12,696.63/19,037.65 = 6,766.22/x
  3. Step 3: Cross multiply
    12,696.63x = 19,037.65 × 6,766.22
  4. Step 4: Simplify right side
    12,696.63x = 128,812,832.99
  5. Step 5: Solve for x
    x = 128,812,832.99/12,696.63
  6. Step 6: Final answer
    x = 10,145.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.