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Finding the Fourth Proportional to 30,329.80, 45,494.64 and 8,142.58

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Solution

The fourth proportional to 30,329.80, 45,494.64 and 8,142.58 is: 12,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,329.80 : 45,494.64 = 8,142.58 : x
  2. Step 2: Convert to fraction form
    30,329.80/45,494.64 = 8,142.58/x
  3. Step 3: Cross multiply
    30,329.80x = 45,494.64 × 8,142.58
  4. Step 4: Simplify right side
    30,329.80x = 370,443,745.77
  5. Step 5: Solve for x
    x = 370,443,745.77/30,329.80
  6. Step 6: Final answer
    x = 12,213.85

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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.