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Finding the Fourth Proportional to 30,742.79, 46,109.59 and 8,553.85

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Solution

The fourth proportional to 30,742.79, 46,109.59 and 8,553.85 is: 12,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.79 : 46,109.59 = 8,553.85 : x
  2. Step 2: Convert to fraction form
    30,742.79/46,109.59 = 8,553.85/x
  3. Step 3: Cross multiply
    30,742.79x = 46,109.59 × 8,553.85
  4. Step 4: Simplify right side
    30,742.79x = 394,414,379.76
  5. Step 5: Solve for x
    x = 394,414,379.76/30,742.79
  6. Step 6: Final answer
    x = 12,829.49

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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.