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Finding the Fourth Proportional to 11,913.76, 16,441 and 6,609.40

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Solution

The fourth proportional to 11,913.76, 16,441 and 6,609.40 is: 9,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.76 : 16,441 = 6,609.40 : x
  2. Step 2: Convert to fraction form
    11,913.76/16,441 = 6,609.40/x
  3. Step 3: Cross multiply
    11,913.76x = 16,441 × 6,609.40
  4. Step 4: Simplify right side
    11,913.76x = 108,665,145.40
  5. Step 5: Solve for x
    x = 108,665,145.40/11,913.76
  6. Step 6: Final answer
    x = 9,120.98

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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.