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Finding the Fourth Proportional to 5,768.56, 7,909.58 and 5,206.96

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Solution

The fourth proportional to 5,768.56, 7,909.58 and 5,206.96 is: 7,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.56 : 7,909.58 = 5,206.96 : x
  2. Step 2: Convert to fraction form
    5,768.56/7,909.58 = 5,206.96/x
  3. Step 3: Cross multiply
    5,768.56x = 7,909.58 × 5,206.96
  4. Step 4: Simplify right side
    5,768.56x = 41,184,866.68
  5. Step 5: Solve for x
    x = 41,184,866.68/5,768.56
  6. Step 6: Final answer
    x = 7,139.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.