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Finding the Fourth Proportional to 3,654, 5,481 and 1,056.96

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Solution

The fourth proportional to 3,654, 5,481 and 1,056.96 is: 1,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654 : 5,481 = 1,056.96 : x
  2. Step 2: Convert to fraction form
    3,654/5,481 = 1,056.96/x
  3. Step 3: Cross multiply
    3,654x = 5,481 × 1,056.96
  4. Step 4: Simplify right side
    3,654x = 5,793,197.76
  5. Step 5: Solve for x
    x = 5,793,197.76/3,654
  6. Step 6: Final answer
    x = 1,585.44

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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.