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Finding the Fourth Proportional to 12,106.74, 16,707 and 7,071.36

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Solution

The fourth proportional to 12,106.74, 16,707 and 7,071.36 is: 9,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.74 : 16,707 = 7,071.36 : x
  2. Step 2: Convert to fraction form
    12,106.74/16,707 = 7,071.36/x
  3. Step 3: Cross multiply
    12,106.74x = 16,707 × 7,071.36
  4. Step 4: Simplify right side
    12,106.74x = 118,141,211.52
  5. Step 5: Solve for x
    x = 118,141,211.52/12,106.74
  6. Step 6: Final answer
    x = 9,758.30

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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.