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Finding the Fourth Proportional to 13,021.73, 17,971.09 and 7,357.51

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Solution

The fourth proportional to 13,021.73, 17,971.09 and 7,357.51 is: 10,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.73 : 17,971.09 = 7,357.51 : x
  2. Step 2: Convert to fraction form
    13,021.73/17,971.09 = 7,357.51/x
  3. Step 3: Cross multiply
    13,021.73x = 17,971.09 × 7,357.51
  4. Step 4: Simplify right side
    13,021.73x = 132,222,474.39
  5. Step 5: Solve for x
    x = 132,222,474.39/13,021.73
  6. Step 6: Final answer
    x = 10,153.99

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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.