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Finding the Fourth Proportional to 30,809, 42,516.24 and 16,661.80

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Solution

The fourth proportional to 30,809, 42,516.24 and 16,661.80 is: 22,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809 : 42,516.24 = 16,661.80 : x
  2. Step 2: Convert to fraction form
    30,809/42,516.24 = 16,661.80/x
  3. Step 3: Cross multiply
    30,809x = 42,516.24 × 16,661.80
  4. Step 4: Simplify right side
    30,809x = 708,397,087.63
  5. Step 5: Solve for x
    x = 708,397,087.63/30,809
  6. Step 6: Final answer
    x = 22,993.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.