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Finding the Fourth Proportional to 31,525.47, 47,289.83 and 8,152.11

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Solution

The fourth proportional to 31,525.47, 47,289.83 and 8,152.11 is: 12,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525.47 : 47,289.83 = 8,152.11 : x
  2. Step 2: Convert to fraction form
    31,525.47/47,289.83 = 8,152.11/x
  3. Step 3: Cross multiply
    31,525.47x = 47,289.83 × 8,152.11
  4. Step 4: Simplify right side
    31,525.47x = 385,511,896.04
  5. Step 5: Solve for x
    x = 385,511,896.04/31,525.47
  6. Step 6: Final answer
    x = 12,228.59

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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.