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Finding the Fourth Proportional to 9,880.96, 13,604.64 and 8,385.76

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Solution

The fourth proportional to 9,880.96, 13,604.64 and 8,385.76 is: 11,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.96 : 13,604.64 = 8,385.76 : x
  2. Step 2: Convert to fraction form
    9,880.96/13,604.64 = 8,385.76/x
  3. Step 3: Cross multiply
    9,880.96x = 13,604.64 × 8,385.76
  4. Step 4: Simplify right side
    9,880.96x = 114,085,245.93
  5. Step 5: Solve for x
    x = 114,085,245.93/9,880.96
  6. Step 6: Final answer
    x = 11,545.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.