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Finding the Fourth Proportional to 13,012.35, 17,953.07 and 7,974.73

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Solution

The fourth proportional to 13,012.35, 17,953.07 and 7,974.73 is: 11,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.35 : 17,953.07 = 7,974.73 : x
  2. Step 2: Convert to fraction form
    13,012.35/17,953.07 = 7,974.73/x
  3. Step 3: Cross multiply
    13,012.35x = 17,953.07 × 7,974.73
  4. Step 4: Simplify right side
    13,012.35x = 143,170,796.16
  5. Step 5: Solve for x
    x = 143,170,796.16/13,012.35
  6. Step 6: Final answer
    x = 11,002.69

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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.