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Finding the Fourth Proportional to 5,481, 8,221.91 and 1,782.95

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Solution

The fourth proportional to 5,481, 8,221.91 and 1,782.95 is: 2,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481 : 8,221.91 = 1,782.95 : x
  2. Step 2: Convert to fraction form
    5,481/8,221.91 = 1,782.95/x
  3. Step 3: Cross multiply
    5,481x = 8,221.91 × 1,782.95
  4. Step 4: Simplify right side
    5,481x = 14,659,204.41
  5. Step 5: Solve for x
    x = 14,659,204.41/5,481
  6. Step 6: Final answer
    x = 2,674.55

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Double scale
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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.