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Finding the Fourth Proportional to 11,951.70, 17,927.46 and 3,187.32

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Solution

The fourth proportional to 11,951.70, 17,927.46 and 3,187.32 is: 4,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.70 : 17,927.46 = 3,187.32 : x
  2. Step 2: Convert to fraction form
    11,951.70/17,927.46 = 3,187.32/x
  3. Step 3: Cross multiply
    11,951.70x = 17,927.46 × 3,187.32
  4. Step 4: Simplify right side
    11,951.70x = 57,140,551.81
  5. Step 5: Solve for x
    x = 57,140,551.81/11,951.70
  6. Step 6: Final answer
    x = 4,780.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.