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Finding the Fourth Proportional to 22,370, 30,871.41 and 12,811.64

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Solution

The fourth proportional to 22,370, 30,871.41 and 12,811.64 is: 17,680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,370 : 30,871.41 = 12,811.64 : x
  2. Step 2: Convert to fraction form
    22,370/30,871.41 = 12,811.64/x
  3. Step 3: Cross multiply
    22,370x = 30,871.41 × 12,811.64
  4. Step 4: Simplify right side
    22,370x = 395,513,391.21
  5. Step 5: Solve for x
    x = 395,513,391.21/22,370
  6. Step 6: Final answer
    x = 17,680.53

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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.