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Finding the Fourth Proportional to 30,459, 42,033.42 and 17,211

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Solution

The fourth proportional to 30,459, 42,033.42 and 17,211 is: 23,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459 : 42,033.42 = 17,211 : x
  2. Step 2: Convert to fraction form
    30,459/42,033.42 = 17,211/x
  3. Step 3: Cross multiply
    30,459x = 42,033.42 × 17,211
  4. Step 4: Simplify right side
    30,459x = 723,437,191.62
  5. Step 5: Solve for x
    x = 723,437,191.62/30,459
  6. Step 6: Final answer
    x = 23,751.18

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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.