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Finding the Fourth Proportional to 3,281.88, 4,923.63 and 1,090.62

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Solution

The fourth proportional to 3,281.88, 4,923.63 and 1,090.62 is: 1,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.88 : 4,923.63 = 1,090.62 : x
  2. Step 2: Convert to fraction form
    3,281.88/4,923.63 = 1,090.62/x
  3. Step 3: Cross multiply
    3,281.88x = 4,923.63 × 1,090.62
  4. Step 4: Simplify right side
    3,281.88x = 5,369,809.35
  5. Step 5: Solve for x
    x = 5,369,809.35/3,281.88
  6. Step 6: Final answer
    x = 1,636.20

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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.