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Finding the Fourth Proportional to 13,046.51, 17,999.92 and 7,380.71

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Solution

The fourth proportional to 13,046.51, 17,999.92 and 7,380.71 is: 10,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.51 : 17,999.92 = 7,380.71 : x
  2. Step 2: Convert to fraction form
    13,046.51/17,999.92 = 7,380.71/x
  3. Step 3: Cross multiply
    13,046.51x = 17,999.92 × 7,380.71
  4. Step 4: Simplify right side
    13,046.51x = 132,852,189.54
  5. Step 5: Solve for x
    x = 132,852,189.54/13,046.51
  6. Step 6: Final answer
    x = 10,182.97

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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.