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Finding the Fourth Proportional to 27,878.16, 38,474.48 and 15,939.16

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Solution

The fourth proportional to 27,878.16, 38,474.48 and 15,939.16 is: 21,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.16 : 38,474.48 = 15,939.16 : x
  2. Step 2: Convert to fraction form
    27,878.16/38,474.48 = 15,939.16/x
  3. Step 3: Cross multiply
    27,878.16x = 38,474.48 × 15,939.16
  4. Step 4: Simplify right side
    27,878.16x = 613,250,892.64
  5. Step 5: Solve for x
    x = 613,250,892.64/27,878.16
  6. Step 6: Final answer
    x = 21,997.54

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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.