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Finding the Fourth Proportional to 38,676.80, 58,015.92 and 30,978.56

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Solution

The fourth proportional to 38,676.80, 58,015.92 and 30,978.56 is: 46,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,676.80 : 58,015.92 = 30,978.56 : x
  2. Step 2: Convert to fraction form
    38,676.80/58,015.92 = 30,978.56/x
  3. Step 3: Cross multiply
    38,676.80x = 58,015.92 × 30,978.56
  4. Step 4: Simplify right side
    38,676.80x = 1,797,249,658.68
  5. Step 5: Solve for x
    x = 1,797,249,658.68/38,676.80
  6. Step 6: Final answer
    x = 46,468.42

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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.