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Finding the Fourth Proportional to 16,120, 22,238.04 and 11,406.88

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Solution

The fourth proportional to 16,120, 22,238.04 and 11,406.88 is: 15,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120 : 22,238.04 = 11,406.88 : x
  2. Step 2: Convert to fraction form
    16,120/22,238.04 = 11,406.88/x
  3. Step 3: Cross multiply
    16,120x = 22,238.04 × 11,406.88
  4. Step 4: Simplify right side
    16,120x = 253,666,653.72
  5. Step 5: Solve for x
    x = 253,666,653.72/16,120
  6. Step 6: Final answer
    x = 15,736.14

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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.