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Finding the Fourth Proportional to 7,876.28, 11,813.42 and 4,945.64

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Solution

The fourth proportional to 7,876.28, 11,813.42 and 4,945.64 is: 7,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.28 : 11,813.42 = 4,945.64 : x
  2. Step 2: Convert to fraction form
    7,876.28/11,813.42 = 4,945.64/x
  3. Step 3: Cross multiply
    7,876.28x = 11,813.42 × 4,945.64
  4. Step 4: Simplify right side
    7,876.28x = 58,424,922.49
  5. Step 5: Solve for x
    x = 58,424,922.49/7,876.28
  6. Step 6: Final answer
    x = 7,417.83

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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.