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Finding the Fourth Proportional to 8,221.56, 12,329.31 and 2,955.16

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Solution

The fourth proportional to 8,221.56, 12,329.31 and 2,955.16 is: 4,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.56 : 12,329.31 = 2,955.16 : x
  2. Step 2: Convert to fraction form
    8,221.56/12,329.31 = 2,955.16/x
  3. Step 3: Cross multiply
    8,221.56x = 12,329.31 × 2,955.16
  4. Step 4: Simplify right side
    8,221.56x = 36,435,083.74
  5. Step 5: Solve for x
    x = 36,435,083.74/8,221.56
  6. Step 6: Final answer
    x = 4,431.65

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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.