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Finding the Fourth Proportional to 12,107.53, 16,706.62 and 6,801.29

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Solution

The fourth proportional to 12,107.53, 16,706.62 and 6,801.29 is: 9,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.53 : 16,706.62 = 6,801.29 : x
  2. Step 2: Convert to fraction form
    12,107.53/16,706.62 = 6,801.29/x
  3. Step 3: Cross multiply
    12,107.53x = 16,706.62 × 6,801.29
  4. Step 4: Simplify right side
    12,107.53x = 113,626,567.54
  5. Step 5: Solve for x
    x = 113,626,567.54/12,107.53
  6. Step 6: Final answer
    x = 9,384.79

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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.