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Finding the Fourth Proportional to 30,414, 41,966.64 and 16,984.68

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Solution

The fourth proportional to 30,414, 41,966.64 and 16,984.68 is: 23,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414 : 41,966.64 = 16,984.68 : x
  2. Step 2: Convert to fraction form
    30,414/41,966.64 = 16,984.68/x
  3. Step 3: Cross multiply
    30,414x = 41,966.64 × 16,984.68
  4. Step 4: Simplify right side
    30,414x = 712,789,951.08
  5. Step 5: Solve for x
    x = 712,789,951.08/30,414
  6. Step 6: Final answer
    x = 23,436.24

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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.