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Finding the Fourth Proportional to 30,407.81, 41,957.78 and 16,976.91

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Solution

The fourth proportional to 30,407.81, 41,957.78 and 16,976.91 is: 23,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407.81 : 41,957.78 = 16,976.91 : x
  2. Step 2: Convert to fraction form
    30,407.81/41,957.78 = 16,976.91/x
  3. Step 3: Cross multiply
    30,407.81x = 41,957.78 × 16,976.91
  4. Step 4: Simplify right side
    30,407.81x = 712,313,369.98
  5. Step 5: Solve for x
    x = 712,313,369.98/30,407.81
  6. Step 6: Final answer
    x = 23,425.34

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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.