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Finding the Fourth Proportional to 38,530.80, 57,796.20 and 10,825.20

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Solution

The fourth proportional to 38,530.80, 57,796.20 and 10,825.20 is: 16,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,530.80 : 57,796.20 = 10,825.20 : x
  2. Step 2: Convert to fraction form
    38,530.80/57,796.20 = 10,825.20/x
  3. Step 3: Cross multiply
    38,530.80x = 57,796.20 × 10,825.20
  4. Step 4: Simplify right side
    38,530.80x = 625,655,424.24
  5. Step 5: Solve for x
    x = 625,655,424.24/38,530.80
  6. Step 6: Final answer
    x = 16,237.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.