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Finding the Fourth Proportional to 3,479.01, 5,214.86 and 1,628.57

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Solution

The fourth proportional to 3,479.01, 5,214.86 and 1,628.57 is: 2,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.01 : 5,214.86 = 1,628.57 : x
  2. Step 2: Convert to fraction form
    3,479.01/5,214.86 = 1,628.57/x
  3. Step 3: Cross multiply
    3,479.01x = 5,214.86 × 1,628.57
  4. Step 4: Simplify right side
    3,479.01x = 8,492,764.55
  5. Step 5: Solve for x
    x = 8,492,764.55/3,479.01
  6. Step 6: Final answer
    x = 2,441.14

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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.