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Finding the Fourth Proportional to 11,703.64, 16,150.80 and 6,398.44

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Solution

The fourth proportional to 11,703.64, 16,150.80 and 6,398.44 is: 8,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.64 : 16,150.80 = 6,398.44 : x
  2. Step 2: Convert to fraction form
    11,703.64/16,150.80 = 6,398.44/x
  3. Step 3: Cross multiply
    11,703.64x = 16,150.80 × 6,398.44
  4. Step 4: Simplify right side
    11,703.64x = 103,339,924.75
  5. Step 5: Solve for x
    x = 103,339,924.75/11,703.64
  6. Step 6: Final answer
    x = 8,829.73

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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.