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Finding the Fourth Proportional to 3,464, 5,199.12 and 2,350.72

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Solution

The fourth proportional to 3,464, 5,199.12 and 2,350.72 is: 3,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464 : 5,199.12 = 2,350.72 : x
  2. Step 2: Convert to fraction form
    3,464/5,199.12 = 2,350.72/x
  3. Step 3: Cross multiply
    3,464x = 5,199.12 × 2,350.72
  4. Step 4: Simplify right side
    3,464x = 12,221,675.37
  5. Step 5: Solve for x
    x = 12,221,675.37/3,464
  6. Step 6: Final answer
    x = 3,528.20

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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.