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Finding the Fourth Proportional to 7,782.60, 11,667.96 and 3,889.74

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Solution

The fourth proportional to 7,782.60, 11,667.96 and 3,889.74 is: 5,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.60 : 11,667.96 = 3,889.74 : x
  2. Step 2: Convert to fraction form
    7,782.60/11,667.96 = 3,889.74/x
  3. Step 3: Cross multiply
    7,782.60x = 11,667.96 × 3,889.74
  4. Step 4: Simplify right side
    7,782.60x = 45,385,330.73
  5. Step 5: Solve for x
    x = 45,385,330.73/7,782.60
  6. Step 6: Final answer
    x = 5,831.64

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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.