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Finding the Fourth Proportional to 30,510.56, 45,764.46 and 8,323.94

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Solution

The fourth proportional to 30,510.56, 45,764.46 and 8,323.94 is: 12,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,510.56 : 45,764.46 = 8,323.94 : x
  2. Step 2: Convert to fraction form
    30,510.56/45,764.46 = 8,323.94/x
  3. Step 3: Cross multiply
    30,510.56x = 45,764.46 × 8,323.94
  4. Step 4: Simplify right side
    30,510.56x = 380,940,619.17
  5. Step 5: Solve for x
    x = 380,940,619.17/30,510.56
  6. Step 6: Final answer
    x = 12,485.53

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