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Finding the Fourth Proportional to 7,760.58, 11,641.05 and 2,214.42

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Solution

The fourth proportional to 7,760.58, 11,641.05 and 2,214.42 is: 3,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.58 : 11,641.05 = 2,214.42 : x
  2. Step 2: Convert to fraction form
    7,760.58/11,641.05 = 2,214.42/x
  3. Step 3: Cross multiply
    7,760.58x = 11,641.05 × 2,214.42
  4. Step 4: Simplify right side
    7,760.58x = 25,778,173.94
  5. Step 5: Solve for x
    x = 25,778,173.94/7,760.58
  6. Step 6: Final answer
    x = 3,321.68

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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.