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Finding the Fourth Proportional to 3,489.62, 4,813.02 and 2,308.64

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Solution

The fourth proportional to 3,489.62, 4,813.02 and 2,308.64 is: 3,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.62 : 4,813.02 = 2,308.64 : x
  2. Step 2: Convert to fraction form
    3,489.62/4,813.02 = 2,308.64/x
  3. Step 3: Cross multiply
    3,489.62x = 4,813.02 × 2,308.64
  4. Step 4: Simplify right side
    3,489.62x = 11,111,506.43
  5. Step 5: Solve for x
    x = 11,111,506.43/3,489.62
  6. Step 6: Final answer
    x = 3,184.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.