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Finding the Fourth Proportional to 29,180, 40,268.40 and 15,932

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Solution

The fourth proportional to 29,180, 40,268.40 and 15,932 is: 21,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,180 : 40,268.40 = 15,932 : x
  2. Step 2: Convert to fraction form
    29,180/40,268.40 = 15,932/x
  3. Step 3: Cross multiply
    29,180x = 40,268.40 × 15,932
  4. Step 4: Simplify right side
    29,180x = 641,556,148.80
  5. Step 5: Solve for x
    x = 641,556,148.80/29,180
  6. Step 6: Final answer
    x = 21,986.16

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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.