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Finding the Fourth Proportional to 30,891.66, 42,630.45 and 16,744.50

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Solution

The fourth proportional to 30,891.66, 42,630.45 and 16,744.50 is: 23,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.66 : 42,630.45 = 16,744.50 : x
  2. Step 2: Convert to fraction form
    30,891.66/42,630.45 = 16,744.50/x
  3. Step 3: Cross multiply
    30,891.66x = 42,630.45 × 16,744.50
  4. Step 4: Simplify right side
    30,891.66x = 713,825,570.03
  5. Step 5: Solve for x
    x = 713,825,570.03/30,891.66
  6. Step 6: Final answer
    x = 23,107.39

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1.5x scale

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.