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Finding the Fourth Proportional to 7,873.98, 11,811 and 2,943.56

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Solution

The fourth proportional to 7,873.98, 11,811 and 2,943.56 is: 4,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.98 : 11,811 = 2,943.56 : x
  2. Step 2: Convert to fraction form
    7,873.98/11,811 = 2,943.56/x
  3. Step 3: Cross multiply
    7,873.98x = 11,811 × 2,943.56
  4. Step 4: Simplify right side
    7,873.98x = 34,766,387.16
  5. Step 5: Solve for x
    x = 34,766,387.16/7,873.98
  6. Step 6: Final answer
    x = 4,415.35

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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.