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Finding the Fourth Proportional to 9,176.96, 12,650.87 and 6,783.40

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Solution

The fourth proportional to 9,176.96, 12,650.87 and 6,783.40 is: 9,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.96 : 12,650.87 = 6,783.40 : x
  2. Step 2: Convert to fraction form
    9,176.96/12,650.87 = 6,783.40/x
  3. Step 3: Cross multiply
    9,176.96x = 12,650.87 × 6,783.40
  4. Step 4: Simplify right side
    9,176.96x = 85,815,911.56
  5. Step 5: Solve for x
    x = 85,815,911.56/9,176.96
  6. Step 6: Final answer
    x = 9,351.24

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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.