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Finding the Fourth Proportional to 7,854.74, 11,782.21 and 2,011.20

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Solution

The fourth proportional to 7,854.74, 11,782.21 and 2,011.20 is: 3,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.74 : 11,782.21 = 2,011.20 : x
  2. Step 2: Convert to fraction form
    7,854.74/11,782.21 = 2,011.20/x
  3. Step 3: Cross multiply
    7,854.74x = 11,782.21 × 2,011.20
  4. Step 4: Simplify right side
    7,854.74x = 23,696,380.75
  5. Step 5: Solve for x
    x = 23,696,380.75/7,854.74
  6. Step 6: Final answer
    x = 3,016.83

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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.