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Finding the Fourth Proportional to 30,183.76, 45,267 and 9,125.84

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Solution

The fourth proportional to 30,183.76, 45,267 and 9,125.84 is: 13,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,183.76 : 45,267 = 9,125.84 : x
  2. Step 2: Convert to fraction form
    30,183.76/45,267 = 9,125.84/x
  3. Step 3: Cross multiply
    30,183.76x = 45,267 × 9,125.84
  4. Step 4: Simplify right side
    30,183.76x = 413,099,399.28
  5. Step 5: Solve for x
    x = 413,099,399.28/30,183.76
  6. Step 6: Final answer
    x = 13,686.15

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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.