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Finding the Fourth Proportional to 27,690, 38,212.32 and 15,114.84

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Solution

The fourth proportional to 27,690, 38,212.32 and 15,114.84 is: 20,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690 : 38,212.32 = 15,114.84 : x
  2. Step 2: Convert to fraction form
    27,690/38,212.32 = 15,114.84/x
  3. Step 3: Cross multiply
    27,690x = 38,212.32 × 15,114.84
  4. Step 4: Simplify right side
    27,690x = 577,573,102.83
  5. Step 5: Solve for x
    x = 577,573,102.83/27,690
  6. Step 6: Final answer
    x = 20,858.54

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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.