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Finding the Fourth Proportional to 10,485.30, 15,728.82 and 4,562.39

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Solution

The fourth proportional to 10,485.30, 15,728.82 and 4,562.39 is: 6,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.30 : 15,728.82 = 4,562.39 : x
  2. Step 2: Convert to fraction form
    10,485.30/15,728.82 = 4,562.39/x
  3. Step 3: Cross multiply
    10,485.30x = 15,728.82 × 4,562.39
  4. Step 4: Simplify right side
    10,485.30x = 71,760,932.44
  5. Step 5: Solve for x
    x = 71,760,932.44/10,485.30
  6. Step 6: Final answer
    x = 6,843.96

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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.