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Finding the Fourth Proportional to 12,974.03, 19,459.19 and 7,409.33

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Solution

The fourth proportional to 12,974.03, 19,459.19 and 7,409.33 is: 11,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.03 : 19,459.19 = 7,409.33 : x
  2. Step 2: Convert to fraction form
    12,974.03/19,459.19 = 7,409.33/x
  3. Step 3: Cross multiply
    12,974.03x = 19,459.19 × 7,409.33
  4. Step 4: Simplify right side
    12,974.03x = 144,179,523.20
  5. Step 5: Solve for x
    x = 144,179,523.20/12,974.03
  6. Step 6: Final answer
    x = 11,112.93

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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.