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Finding the Fourth Proportional to 30,234.60, 45,347.58 and 8,046

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Solution

The fourth proportional to 30,234.60, 45,347.58 and 8,046 is: 12,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.60 : 45,347.58 = 8,046 : x
  2. Step 2: Convert to fraction form
    30,234.60/45,347.58 = 8,046/x
  3. Step 3: Cross multiply
    30,234.60x = 45,347.58 × 8,046
  4. Step 4: Simplify right side
    30,234.60x = 364,866,628.68
  5. Step 5: Solve for x
    x = 364,866,628.68/30,234.60
  6. Step 6: Final answer
    x = 12,067.85

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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.