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Finding the Fourth Proportional to 11,761.64, 17,646.78 and 8,478.44

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Solution

The fourth proportional to 11,761.64, 17,646.78 and 8,478.44 is: 12,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.64 : 17,646.78 = 8,478.44 : x
  2. Step 2: Convert to fraction form
    11,761.64/17,646.78 = 8,478.44/x
  3. Step 3: Cross multiply
    11,761.64x = 17,646.78 × 8,478.44
  4. Step 4: Simplify right side
    11,761.64x = 149,617,165.42
  5. Step 5: Solve for x
    x = 149,617,165.42/11,761.64
  6. Step 6: Final answer
    x = 12,720.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.