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Finding the Fourth Proportional to 31,448, 43,408 and 20,270

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Solution

The fourth proportional to 31,448, 43,408 and 20,270 is: 27,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448 : 43,408 = 20,270 : x
  2. Step 2: Convert to fraction form
    31,448/43,408 = 20,270/x
  3. Step 3: Cross multiply
    31,448x = 43,408 × 20,270
  4. Step 4: Simplify right side
    31,448x = 879,880,160
  5. Step 5: Solve for x
    x = 879,880,160/31,448
  6. Step 6: Final answer
    x = 27,978.89

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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.