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Finding the Fourth Proportional to 30,482, 42,070.92 and 17,234

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Solution

The fourth proportional to 30,482, 42,070.92 and 17,234 is: 23,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482 : 42,070.92 = 17,234 : x
  2. Step 2: Convert to fraction form
    30,482/42,070.92 = 17,234/x
  3. Step 3: Cross multiply
    30,482x = 42,070.92 × 17,234
  4. Step 4: Simplify right side
    30,482x = 725,050,235.28
  5. Step 5: Solve for x
    x = 725,050,235.28/30,482
  6. Step 6: Final answer
    x = 23,786.18

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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.