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Finding the Fourth Proportional to 12,706.73, 19,034.57 and 7,151.75

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Solution

The fourth proportional to 12,706.73, 19,034.57 and 7,151.75 is: 10,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.73 : 19,034.57 = 7,151.75 : x
  2. Step 2: Convert to fraction form
    12,706.73/19,034.57 = 7,151.75/x
  3. Step 3: Cross multiply
    12,706.73x = 19,034.57 × 7,151.75
  4. Step 4: Simplify right side
    12,706.73x = 136,130,408.70
  5. Step 5: Solve for x
    x = 136,130,408.70/12,706.73
  6. Step 6: Final answer
    x = 10,713.26

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1.5x scale

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.