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Finding the Fourth Proportional to 8,696.66, 13,020.14 and 8,144.93

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Solution

The fourth proportional to 8,696.66, 13,020.14 and 8,144.93 is: 12,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.66 : 13,020.14 = 8,144.93 : x
  2. Step 2: Convert to fraction form
    8,696.66/13,020.14 = 8,144.93/x
  3. Step 3: Cross multiply
    8,696.66x = 13,020.14 × 8,144.93
  4. Step 4: Simplify right side
    8,696.66x = 106,048,023.06
  5. Step 5: Solve for x
    x = 106,048,023.06/8,696.66
  6. Step 6: Final answer
    x = 12,194.12

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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.