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Finding the Fourth Proportional to 6,963.76, 9,606.36 and 5,638.96

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Solution

The fourth proportional to 6,963.76, 9,606.36 and 5,638.96 is: 7,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.76 : 9,606.36 = 5,638.96 : x
  2. Step 2: Convert to fraction form
    6,963.76/9,606.36 = 5,638.96/x
  3. Step 3: Cross multiply
    6,963.76x = 9,606.36 × 5,638.96
  4. Step 4: Simplify right side
    6,963.76x = 54,169,879.79
  5. Step 5: Solve for x
    x = 54,169,879.79/6,963.76
  6. Step 6: Final answer
    x = 7,778.83

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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.