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Finding the Fourth Proportional to 10,852.80, 16,281.72 and 4,278.48

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Solution

The fourth proportional to 10,852.80, 16,281.72 and 4,278.48 is: 6,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.80 : 16,281.72 = 4,278.48 : x
  2. Step 2: Convert to fraction form
    10,852.80/16,281.72 = 4,278.48/x
  3. Step 3: Cross multiply
    10,852.80x = 16,281.72 × 4,278.48
  4. Step 4: Simplify right side
    10,852.80x = 69,661,013.39
  5. Step 5: Solve for x
    x = 69,661,013.39/10,852.80
  6. Step 6: Final answer
    x = 6,418.71

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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.