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Finding the Fourth Proportional to 12,951.70, 17,873.31 and 7,286.45

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Solution

The fourth proportional to 12,951.70, 17,873.31 and 7,286.45 is: 10,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.70 : 17,873.31 = 7,286.45 : x
  2. Step 2: Convert to fraction form
    12,951.70/17,873.31 = 7,286.45/x
  3. Step 3: Cross multiply
    12,951.70x = 17,873.31 × 7,286.45
  4. Step 4: Simplify right side
    12,951.70x = 130,232,890.28
  5. Step 5: Solve for x
    x = 130,232,890.28/12,951.70
  6. Step 6: Final answer
    x = 10,055.28

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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.