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Finding the Fourth Proportional to 27,616.70, 38,112 and 15,679.64

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Solution

The fourth proportional to 27,616.70, 38,112 and 15,679.64 is: 21,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616.70 : 38,112 = 15,679.64 : x
  2. Step 2: Convert to fraction form
    27,616.70/38,112 = 15,679.64/x
  3. Step 3: Cross multiply
    27,616.70x = 38,112 × 15,679.64
  4. Step 4: Simplify right side
    27,616.70x = 597,582,439.68
  5. Step 5: Solve for x
    x = 597,582,439.68/27,616.70
  6. Step 6: Final answer
    x = 21,638.44

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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.