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Finding the Fourth Proportional to 5,605.76, 8,405.84 and 3,266.56

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Solution

The fourth proportional to 5,605.76, 8,405.84 and 3,266.56 is: 4,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.76 : 8,405.84 = 3,266.56 : x
  2. Step 2: Convert to fraction form
    5,605.76/8,405.84 = 3,266.56/x
  3. Step 3: Cross multiply
    5,605.76x = 8,405.84 × 3,266.56
  4. Step 4: Simplify right side
    5,605.76x = 27,458,180.71
  5. Step 5: Solve for x
    x = 27,458,180.71/5,605.76
  6. Step 6: Final answer
    x = 4,898.21

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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.