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Finding the Fourth Proportional to 6,768.53, 9,347.90 and 4,649.64

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Solution

The fourth proportional to 6,768.53, 9,347.90 and 4,649.64 is: 6,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.53 : 9,347.90 = 4,649.64 : x
  2. Step 2: Convert to fraction form
    6,768.53/9,347.90 = 4,649.64/x
  3. Step 3: Cross multiply
    6,768.53x = 9,347.90 × 4,649.64
  4. Step 4: Simplify right side
    6,768.53x = 43,464,369.76
  5. Step 5: Solve for x
    x = 43,464,369.76/6,768.53
  6. Step 6: Final answer
    x = 6,421.54

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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.