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Finding the Fourth Proportional to 22,145, 30,560.10 and 12,209

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Solution

The fourth proportional to 22,145, 30,560.10 and 12,209 is: 16,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,145 : 30,560.10 = 12,209 : x
  2. Step 2: Convert to fraction form
    22,145/30,560.10 = 12,209/x
  3. Step 3: Cross multiply
    22,145x = 30,560.10 × 12,209
  4. Step 4: Simplify right side
    22,145x = 373,108,260.90
  5. Step 5: Solve for x
    x = 373,108,260.90/22,145
  6. Step 6: Final answer
    x = 16,848.42

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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.