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Finding the Fourth Proportional to 3,486.76, 5,229.06 and 1,406.68

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Solution

The fourth proportional to 3,486.76, 5,229.06 and 1,406.68 is: 2,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.76 : 5,229.06 = 1,406.68 : x
  2. Step 2: Convert to fraction form
    3,486.76/5,229.06 = 1,406.68/x
  3. Step 3: Cross multiply
    3,486.76x = 5,229.06 × 1,406.68
  4. Step 4: Simplify right side
    3,486.76x = 7,355,614.12
  5. Step 5: Solve for x
    x = 7,355,614.12/3,486.76
  6. Step 6: Final answer
    x = 2,109.58

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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.