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Finding the Fourth Proportional to 27,342.88, 37,736.64 and 15,409.16

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Solution

The fourth proportional to 27,342.88, 37,736.64 and 15,409.16 is: 21,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342.88 : 37,736.64 = 15,409.16 : x
  2. Step 2: Convert to fraction form
    27,342.88/37,736.64 = 15,409.16/x
  3. Step 3: Cross multiply
    27,342.88x = 37,736.64 × 15,409.16
  4. Step 4: Simplify right side
    27,342.88x = 581,489,923.62
  5. Step 5: Solve for x
    x = 581,489,923.62/27,342.88
  6. Step 6: Final answer
    x = 21,266.59

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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.