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Finding the Fourth Proportional to 30,495.96, 45,735.72 and 10,771.92

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Solution

The fourth proportional to 30,495.96, 45,735.72 and 10,771.92 is: 16,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,495.96 : 45,735.72 = 10,771.92 : x
  2. Step 2: Convert to fraction form
    30,495.96/45,735.72 = 10,771.92/x
  3. Step 3: Cross multiply
    30,495.96x = 45,735.72 × 10,771.92
  4. Step 4: Simplify right side
    30,495.96x = 492,661,516.98
  5. Step 5: Solve for x
    x = 492,661,516.98/30,495.96
  6. Step 6: Final answer
    x = 16,154.98

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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.