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Finding the Fourth Proportional to 3,654.64, 5,486.82 and 1,708.21

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Solution

The fourth proportional to 3,654.64, 5,486.82 and 1,708.21 is: 2,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.64 : 5,486.82 = 1,708.21 : x
  2. Step 2: Convert to fraction form
    3,654.64/5,486.82 = 1,708.21/x
  3. Step 3: Cross multiply
    3,654.64x = 5,486.82 × 1,708.21
  4. Step 4: Simplify right side
    3,654.64x = 9,372,640.79
  5. Step 5: Solve for x
    x = 9,372,640.79/3,654.64
  6. Step 6: Final answer
    x = 2,564.59

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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.