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Finding the Fourth Proportional to 30,129.78, 45,194.25 and 9,353.28

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Solution

The fourth proportional to 30,129.78, 45,194.25 and 9,353.28 is: 14,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.78 : 45,194.25 = 9,353.28 : x
  2. Step 2: Convert to fraction form
    30,129.78/45,194.25 = 9,353.28/x
  3. Step 3: Cross multiply
    30,129.78x = 45,194.25 × 9,353.28
  4. Step 4: Simplify right side
    30,129.78x = 422,714,474.64
  5. Step 5: Solve for x
    x = 422,714,474.64/30,129.78
  6. Step 6: Final answer
    x = 14,029.79

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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.