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Finding the Fourth Proportional to 9,231.45, 12,732.84 and 5,695.80

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Solution

The fourth proportional to 9,231.45, 12,732.84 and 5,695.80 is: 7,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.45 : 12,732.84 = 5,695.80 : x
  2. Step 2: Convert to fraction form
    9,231.45/12,732.84 = 5,695.80/x
  3. Step 3: Cross multiply
    9,231.45x = 12,732.84 × 5,695.80
  4. Step 4: Simplify right side
    9,231.45x = 72,523,710.07
  5. Step 5: Solve for x
    x = 72,523,710.07/9,231.45
  6. Step 6: Final answer
    x = 7,856.16

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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.