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Finding the Fourth Proportional to 30,409.62, 45,614.43 and 9,631.50

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Solution

The fourth proportional to 30,409.62, 45,614.43 and 9,631.50 is: 14,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.62 : 45,614.43 = 9,631.50 : x
  2. Step 2: Convert to fraction form
    30,409.62/45,614.43 = 9,631.50/x
  3. Step 3: Cross multiply
    30,409.62x = 45,614.43 × 9,631.50
  4. Step 4: Simplify right side
    30,409.62x = 439,335,382.55
  5. Step 5: Solve for x
    x = 439,335,382.55/30,409.62
  6. Step 6: Final answer
    x = 14,447.25

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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.