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Finding the Fourth Proportional to 5,187.64, 7,771.88 and 4,013.48

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Solution

The fourth proportional to 5,187.64, 7,771.88 and 4,013.48 is: 6,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.64 : 7,771.88 = 4,013.48 : x
  2. Step 2: Convert to fraction form
    5,187.64/7,771.88 = 4,013.48/x
  3. Step 3: Cross multiply
    5,187.64x = 7,771.88 × 4,013.48
  4. Step 4: Simplify right side
    5,187.64x = 31,192,284.94
  5. Step 5: Solve for x
    x = 31,192,284.94/5,187.64
  6. Step 6: Final answer
    x = 6,012.81

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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.