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Finding the Fourth Proportional to 12,696.90, 17,522.10 and 7,107.90

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Solution

The fourth proportional to 12,696.90, 17,522.10 and 7,107.90 is: 9,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.90 : 17,522.10 = 7,107.90 : x
  2. Step 2: Convert to fraction form
    12,696.90/17,522.10 = 7,107.90/x
  3. Step 3: Cross multiply
    12,696.90x = 17,522.10 × 7,107.90
  4. Step 4: Simplify right side
    12,696.90x = 124,545,334.59
  5. Step 5: Solve for x
    x = 124,545,334.59/12,696.90
  6. Step 6: Final answer
    x = 9,809.11

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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.