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Finding the Fourth Proportional to 30,361.57, 45,538.94 and 8,176.57

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Solution

The fourth proportional to 30,361.57, 45,538.94 and 8,176.57 is: 12,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361.57 : 45,538.94 = 8,176.57 : x
  2. Step 2: Convert to fraction form
    30,361.57/45,538.94 = 8,176.57/x
  3. Step 3: Cross multiply
    30,361.57x = 45,538.94 × 8,176.57
  4. Step 4: Simplify right side
    30,361.57x = 372,352,289.75
  5. Step 5: Solve for x
    x = 372,352,289.75/30,361.57
  6. Step 6: Final answer
    x = 12,263.93

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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.