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Finding the Fourth Proportional to 10,978.86, 16,458.20 and 4,048.50

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Solution

The fourth proportional to 10,978.86, 16,458.20 and 4,048.50 is: 6,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.86 : 16,458.20 = 4,048.50 : x
  2. Step 2: Convert to fraction form
    10,978.86/16,458.20 = 4,048.50/x
  3. Step 3: Cross multiply
    10,978.86x = 16,458.20 × 4,048.50
  4. Step 4: Simplify right side
    10,978.86x = 66,631,022.70
  5. Step 5: Solve for x
    x = 66,631,022.70/10,978.86
  6. Step 6: Final answer
    x = 6,069.03

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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.