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Finding the Fourth Proportional to 30,319.04, 41,839.12 and 16,890

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Solution

The fourth proportional to 30,319.04, 41,839.12 and 16,890 is: 23,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319.04 : 41,839.12 = 16,890 : x
  2. Step 2: Convert to fraction form
    30,319.04/41,839.12 = 16,890/x
  3. Step 3: Cross multiply
    30,319.04x = 41,839.12 × 16,890
  4. Step 4: Simplify right side
    30,319.04x = 706,662,736.80
  5. Step 5: Solve for x
    x = 706,662,736.80/30,319.04
  6. Step 6: Final answer
    x = 23,307.56

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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.