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Finding the Fourth Proportional to 30,231.80, 45,347.64 and 8,045.20

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Solution

The fourth proportional to 30,231.80, 45,347.64 and 8,045.20 is: 12,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,231.80 : 45,347.64 = 8,045.20 : x
  2. Step 2: Convert to fraction form
    30,231.80/45,347.64 = 8,045.20/x
  3. Step 3: Cross multiply
    30,231.80x = 45,347.64 × 8,045.20
  4. Step 4: Simplify right side
    30,231.80x = 364,830,833.33
  5. Step 5: Solve for x
    x = 364,830,833.33/30,231.80
  6. Step 6: Final answer
    x = 12,067.78

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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.