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Finding the Fourth Proportional to 7,182.75, 10,774.14 and 1,917.78

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Solution

The fourth proportional to 7,182.75, 10,774.14 and 1,917.78 is: 2,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.75 : 10,774.14 = 1,917.78 : x
  2. Step 2: Convert to fraction form
    7,182.75/10,774.14 = 1,917.78/x
  3. Step 3: Cross multiply
    7,182.75x = 10,774.14 × 1,917.78
  4. Step 4: Simplify right side
    7,182.75x = 20,662,382.61
  5. Step 5: Solve for x
    x = 20,662,382.61/7,182.75
  6. Step 6: Final answer
    x = 2,876.67

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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.