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Finding the Fourth Proportional to 22,477, 31,018.26 and 12,541

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Solution

The fourth proportional to 22,477, 31,018.26 and 12,541 is: 17,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477 : 31,018.26 = 12,541 : x
  2. Step 2: Convert to fraction form
    22,477/31,018.26 = 12,541/x
  3. Step 3: Cross multiply
    22,477x = 31,018.26 × 12,541
  4. Step 4: Simplify right side
    22,477x = 388,999,998.66
  5. Step 5: Solve for x
    x = 388,999,998.66/22,477
  6. Step 6: Final answer
    x = 17,306.58

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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.