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Finding the Fourth Proportional to 27,769, 38,321.30 and 15,193.64

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Solution

The fourth proportional to 27,769, 38,321.30 and 15,193.64 is: 20,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769 : 38,321.30 = 15,193.64 : x
  2. Step 2: Convert to fraction form
    27,769/38,321.30 = 15,193.64/x
  3. Step 3: Cross multiply
    27,769x = 38,321.30 × 15,193.64
  4. Step 4: Simplify right side
    27,769x = 582,240,036.53
  5. Step 5: Solve for x
    x = 582,240,036.53/27,769
  6. Step 6: Final answer
    x = 20,967.27

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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.