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Finding the Fourth Proportional to 30,398.63, 41,949.29 and 16,969.50

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Solution

The fourth proportional to 30,398.63, 41,949.29 and 16,969.50 is: 23,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.63 : 41,949.29 = 16,969.50 : x
  2. Step 2: Convert to fraction form
    30,398.63/41,949.29 = 16,969.50/x
  3. Step 3: Cross multiply
    30,398.63x = 41,949.29 × 16,969.50
  4. Step 4: Simplify right side
    30,398.63x = 711,858,519.08
  5. Step 5: Solve for x
    x = 711,858,519.08/30,398.63
  6. Step 6: Final answer
    x = 23,417.46

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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.