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Finding the Fourth Proportional to 11,880.70, 16,397.10 and 6,843.94

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Solution

The fourth proportional to 11,880.70, 16,397.10 and 6,843.94 is: 9,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.70 : 16,397.10 = 6,843.94 : x
  2. Step 2: Convert to fraction form
    11,880.70/16,397.10 = 6,843.94/x
  3. Step 3: Cross multiply
    11,880.70x = 16,397.10 × 6,843.94
  4. Step 4: Simplify right side
    11,880.70x = 112,220,768.57
  5. Step 5: Solve for x
    x = 112,220,768.57/11,880.70
  6. Step 6: Final answer
    x = 9,445.64

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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.