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Finding the Fourth Proportional to 22,951.40, 31,671.06 and 12,878.44

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Solution

The fourth proportional to 22,951.40, 31,671.06 and 12,878.44 is: 17,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.40 : 31,671.06 = 12,878.44 : x
  2. Step 2: Convert to fraction form
    22,951.40/31,671.06 = 12,878.44/x
  3. Step 3: Cross multiply
    22,951.40x = 31,671.06 × 12,878.44
  4. Step 4: Simplify right side
    22,951.40x = 407,873,687.59
  5. Step 5: Solve for x
    x = 407,873,687.59/22,951.40
  6. Step 6: Final answer
    x = 17,771.19

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1.5x scale

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.