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Finding the Fourth Proportional to 5,382.47, 8,072.80 and 1,486.89

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Solution

The fourth proportional to 5,382.47, 8,072.80 and 1,486.89 is: 2,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.47 : 8,072.80 = 1,486.89 : x
  2. Step 2: Convert to fraction form
    5,382.47/8,072.80 = 1,486.89/x
  3. Step 3: Cross multiply
    5,382.47x = 8,072.80 × 1,486.89
  4. Step 4: Simplify right side
    5,382.47x = 12,003,361.87
  5. Step 5: Solve for x
    x = 12,003,361.87/5,382.47
  6. Step 6: Final answer
    x = 2,230.08

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Why These Related Problems?

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