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Finding the Fourth Proportional to 28,534.97, 42,791.42 and 9,811.46

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Solution

The fourth proportional to 28,534.97, 42,791.42 and 9,811.46 is: 14,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,534.97 : 42,791.42 = 9,811.46 : x
  2. Step 2: Convert to fraction form
    28,534.97/42,791.42 = 9,811.46/x
  3. Step 3: Cross multiply
    28,534.97x = 42,791.42 × 9,811.46
  4. Step 4: Simplify right side
    28,534.97x = 419,846,116.24
  5. Step 5: Solve for x
    x = 419,846,116.24/28,534.97
  6. Step 6: Final answer
    x = 14,713.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.