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Finding the Fourth Proportional to 6,408.96, 8,830.28 and 4,309.44

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Solution

The fourth proportional to 6,408.96, 8,830.28 and 4,309.44 is: 5,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.96 : 8,830.28 = 4,309.44 : x
  2. Step 2: Convert to fraction form
    6,408.96/8,830.28 = 4,309.44/x
  3. Step 3: Cross multiply
    6,408.96x = 8,830.28 × 4,309.44
  4. Step 4: Simplify right side
    6,408.96x = 38,053,561.84
  5. Step 5: Solve for x
    x = 38,053,561.84/6,408.96
  6. Step 6: Final answer
    x = 5,937.56

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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.