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Finding the Fourth Proportional to 30,390, 41,939.64 and 17,142

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Solution

The fourth proportional to 30,390, 41,939.64 and 17,142 is: 23,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390 : 41,939.64 = 17,142 : x
  2. Step 2: Convert to fraction form
    30,390/41,939.64 = 17,142/x
  3. Step 3: Cross multiply
    30,390x = 41,939.64 × 17,142
  4. Step 4: Simplify right side
    30,390x = 718,929,308.88
  5. Step 5: Solve for x
    x = 718,929,308.88/30,390
  6. Step 6: Final answer
    x = 23,656.77

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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.