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Finding the Fourth Proportional to 30,231.93, 45,347.84 and 8,045.31

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Solution

The fourth proportional to 30,231.93, 45,347.84 and 8,045.31 is: 12,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,231.93 : 45,347.84 = 8,045.31 : x
  2. Step 2: Convert to fraction form
    30,231.93/45,347.84 = 8,045.31/x
  3. Step 3: Cross multiply
    30,231.93x = 45,347.84 × 8,045.31
  4. Step 4: Simplify right side
    30,231.93x = 364,837,390.40
  5. Step 5: Solve for x
    x = 364,837,390.40/30,231.93
  6. Step 6: Final answer
    x = 12,067.95

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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.