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Finding the Fourth Proportional to 8,633.81, 11,909.80 and 5,648.96

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Solution

The fourth proportional to 8,633.81, 11,909.80 and 5,648.96 is: 7,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.81 : 11,909.80 = 5,648.96 : x
  2. Step 2: Convert to fraction form
    8,633.81/11,909.80 = 5,648.96/x
  3. Step 3: Cross multiply
    8,633.81x = 11,909.80 × 5,648.96
  4. Step 4: Simplify right side
    8,633.81x = 67,278,020.64
  5. Step 5: Solve for x
    x = 67,278,020.64/8,633.81
  6. Step 6: Final answer
    x = 7,792.39

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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.