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Finding the Fourth Proportional to 16,157.77, 22,312.43 and 12,171.96

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Solution

The fourth proportional to 16,157.77, 22,312.43 and 12,171.96 is: 16,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.77 : 22,312.43 = 12,171.96 : x
  2. Step 2: Convert to fraction form
    16,157.77/22,312.43 = 12,171.96/x
  3. Step 3: Cross multiply
    16,157.77x = 22,312.43 × 12,171.96
  4. Step 4: Simplify right side
    16,157.77x = 271,586,005.46
  5. Step 5: Solve for x
    x = 271,586,005.46/16,157.77
  6. Step 6: Final answer
    x = 16,808.38

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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.