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Finding the Fourth Proportional to 29,189.80, 43,784.70 and 8,129.80

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Solution

The fourth proportional to 29,189.80, 43,784.70 and 8,129.80 is: 12,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189.80 : 43,784.70 = 8,129.80 : x
  2. Step 2: Convert to fraction form
    29,189.80/43,784.70 = 8,129.80/x
  3. Step 3: Cross multiply
    29,189.80x = 43,784.70 × 8,129.80
  4. Step 4: Simplify right side
    29,189.80x = 355,960,854.06
  5. Step 5: Solve for x
    x = 355,960,854.06/29,189.80
  6. Step 6: Final answer
    x = 12,194.70

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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.