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Finding the Fourth Proportional to 12,696.83, 17,522.04 and 8,440.47

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Solution

The fourth proportional to 12,696.83, 17,522.04 and 8,440.47 is: 11,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.83 : 17,522.04 = 8,440.47 : x
  2. Step 2: Convert to fraction form
    12,696.83/17,522.04 = 8,440.47/x
  3. Step 3: Cross multiply
    12,696.83x = 17,522.04 × 8,440.47
  4. Step 4: Simplify right side
    12,696.83x = 147,894,252.96
  5. Step 5: Solve for x
    x = 147,894,252.96/12,696.83
  6. Step 6: Final answer
    x = 11,648.13

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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.