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Finding the Fourth Proportional to 12,706.26, 19,061.25 and 4,811.68

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Solution

The fourth proportional to 12,706.26, 19,061.25 and 4,811.68 is: 7,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.26 : 19,061.25 = 4,811.68 : x
  2. Step 2: Convert to fraction form
    12,706.26/19,061.25 = 4,811.68/x
  3. Step 3: Cross multiply
    12,706.26x = 19,061.25 × 4,811.68
  4. Step 4: Simplify right side
    12,706.26x = 91,716,635.40
  5. Step 5: Solve for x
    x = 91,716,635.40/12,706.26
  6. Step 6: Final answer
    x = 7,218.22

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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.