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Finding the Fourth Proportional to 30,409.16, 41,963.76 and 16,980

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Solution

The fourth proportional to 30,409.16, 41,963.76 and 16,980 is: 23,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.16 : 41,963.76 = 16,980 : x
  2. Step 2: Convert to fraction form
    30,409.16/41,963.76 = 16,980/x
  3. Step 3: Cross multiply
    30,409.16x = 41,963.76 × 16,980
  4. Step 4: Simplify right side
    30,409.16x = 712,544,644.80
  5. Step 5: Solve for x
    x = 712,544,644.80/30,409.16
  6. Step 6: Final answer
    x = 23,431.91

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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.