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Finding the Fourth Proportional to 9,523.80, 13,141.27 and 5,984.50

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Solution

The fourth proportional to 9,523.80, 13,141.27 and 5,984.50 is: 8,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.80 : 13,141.27 = 5,984.50 : x
  2. Step 2: Convert to fraction form
    9,523.80/13,141.27 = 5,984.50/x
  3. Step 3: Cross multiply
    9,523.80x = 13,141.27 × 5,984.50
  4. Step 4: Simplify right side
    9,523.80x = 78,643,930.32
  5. Step 5: Solve for x
    x = 78,643,930.32/9,523.80
  6. Step 6: Final answer
    x = 8,257.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.