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Finding the Fourth Proportional to 27,757.44, 38,300.80 and 15,820.80

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Solution

The fourth proportional to 27,757.44, 38,300.80 and 15,820.80 is: 21,830.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.44 : 38,300.80 = 15,820.80 : x
  2. Step 2: Convert to fraction form
    27,757.44/38,300.80 = 15,820.80/x
  3. Step 3: Cross multiply
    27,757.44x = 38,300.80 × 15,820.80
  4. Step 4: Simplify right side
    27,757.44x = 605,949,296.64
  5. Step 5: Solve for x
    x = 605,949,296.64/27,757.44
  6. Step 6: Final answer
    x = 21,830.16

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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.