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Finding the Fourth Proportional to 3,486.70, 5,205.29 and 3,340.90

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Solution

The fourth proportional to 3,486.70, 5,205.29 and 3,340.90 is: 4,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.70 : 5,205.29 = 3,340.90 : x
  2. Step 2: Convert to fraction form
    3,486.70/5,205.29 = 3,340.90/x
  3. Step 3: Cross multiply
    3,486.70x = 5,205.29 × 3,340.90
  4. Step 4: Simplify right side
    3,486.70x = 17,390,353.36
  5. Step 5: Solve for x
    x = 17,390,353.36/3,486.70
  6. Step 6: Final answer
    x = 4,987.63

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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.