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Finding the Fourth Proportional to 30,425, 41,987.42 and 16,996.84

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Solution

The fourth proportional to 30,425, 41,987.42 and 16,996.84 is: 23,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,425 : 41,987.42 = 16,996.84 : x
  2. Step 2: Convert to fraction form
    30,425/41,987.42 = 16,996.84/x
  3. Step 3: Cross multiply
    30,425x = 41,987.42 × 16,996.84
  4. Step 4: Simplify right side
    30,425x = 713,653,459.75
  5. Step 5: Solve for x
    x = 713,653,459.75/30,425
  6. Step 6: Final answer
    x = 23,456.15

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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.