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Finding the Fourth Proportional to 5,887.65, 8,120.68 and 3,733.45

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Solution

The fourth proportional to 5,887.65, 8,120.68 and 3,733.45 is: 5,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.65 : 8,120.68 = 3,733.45 : x
  2. Step 2: Convert to fraction form
    5,887.65/8,120.68 = 3,733.45/x
  3. Step 3: Cross multiply
    5,887.65x = 8,120.68 × 3,733.45
  4. Step 4: Simplify right side
    5,887.65x = 30,318,152.75
  5. Step 5: Solve for x
    x = 30,318,152.75/5,887.65
  6. Step 6: Final answer
    x = 5,149.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.