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Finding the Fourth Proportional to 3,498, 5,224.08 and 3,308.64

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Solution

The fourth proportional to 3,498, 5,224.08 and 3,308.64 is: 4,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498 : 5,224.08 = 3,308.64 : x
  2. Step 2: Convert to fraction form
    3,498/5,224.08 = 3,308.64/x
  3. Step 3: Cross multiply
    3,498x = 5,224.08 × 3,308.64
  4. Step 4: Simplify right side
    3,498x = 17,284,600.05
  5. Step 5: Solve for x
    x = 17,284,600.05/3,498
  6. Step 6: Final answer
    x = 4,941.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.