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Finding the Fourth Proportional to 27,444, 37,878.21 and 15,507.48

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Solution

The fourth proportional to 27,444, 37,878.21 and 15,507.48 is: 21,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,444 : 37,878.21 = 15,507.48 : x
  2. Step 2: Convert to fraction form
    27,444/37,878.21 = 15,507.48/x
  3. Step 3: Cross multiply
    27,444x = 37,878.21 × 15,507.48
  4. Step 4: Simplify right side
    27,444x = 587,395,584.01
  5. Step 5: Solve for x
    x = 587,395,584.01/27,444
  6. Step 6: Final answer
    x = 21,403.42

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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.