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Finding the Fourth Proportional to 22,927.07, 31,639.05 and 12,855.48

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Solution

The fourth proportional to 22,927.07, 31,639.05 and 12,855.48 is: 17,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.07 : 31,639.05 = 12,855.48 : x
  2. Step 2: Convert to fraction form
    22,927.07/31,639.05 = 12,855.48/x
  3. Step 3: Cross multiply
    22,927.07x = 31,639.05 × 12,855.48
  4. Step 4: Simplify right side
    22,927.07x = 406,735,174.49
  5. Step 5: Solve for x
    x = 406,735,174.49/22,927.07
  6. Step 6: Final answer
    x = 17,740.39

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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.