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Finding the Fourth Proportional to 22,157, 30,577.62 and 12,221

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Solution

The fourth proportional to 22,157, 30,577.62 and 12,221 is: 16,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157 : 30,577.62 = 12,221 : x
  2. Step 2: Convert to fraction form
    22,157/30,577.62 = 12,221/x
  3. Step 3: Cross multiply
    22,157x = 30,577.62 × 12,221
  4. Step 4: Simplify right side
    22,157x = 373,689,094.02
  5. Step 5: Solve for x
    x = 373,689,094.02/22,157
  6. Step 6: Final answer
    x = 16,865.51

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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.