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Finding the Fourth Proportional to 16,100, 22,218.08 and 9,390.28

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Solution

The fourth proportional to 16,100, 22,218.08 and 9,390.28 is: 12,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100 : 22,218.08 = 9,390.28 : x
  2. Step 2: Convert to fraction form
    16,100/22,218.08 = 9,390.28/x
  3. Step 3: Cross multiply
    16,100x = 22,218.08 × 9,390.28
  4. Step 4: Simplify right side
    16,100x = 208,633,992.26
  5. Step 5: Solve for x
    x = 208,633,992.26/16,100
  6. Step 6: Final answer
    x = 12,958.63

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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.