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Finding the Fourth Proportional to 31,672, 43,708.08 and 20,513.44

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Solution

The fourth proportional to 31,672, 43,708.08 and 20,513.44 is: 28,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672 : 43,708.08 = 20,513.44 : x
  2. Step 2: Convert to fraction form
    31,672/43,708.08 = 20,513.44/x
  3. Step 3: Cross multiply
    31,672x = 43,708.08 × 20,513.44
  4. Step 4: Simplify right side
    31,672x = 896,603,076.60
  5. Step 5: Solve for x
    x = 896,603,076.60/31,672
  6. Step 6: Final answer
    x = 28,309.01

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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.