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Finding the Fourth Proportional to 5,382.60, 8,072.98 and 1,487.00

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Solution

The fourth proportional to 5,382.60, 8,072.98 and 1,487.00 is: 2,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.60 : 8,072.98 = 1,487.00 : x
  2. Step 2: Convert to fraction form
    5,382.60/8,072.98 = 1,487.00/x
  3. Step 3: Cross multiply
    5,382.60x = 8,072.98 × 1,487.00
  4. Step 4: Simplify right side
    5,382.60x = 12,004,546.09
  5. Step 5: Solve for x
    x = 12,004,546.09/5,382.60
  6. Step 6: Final answer
    x = 2,230.25

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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.