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Finding the Fourth Proportional to 7,511, 10,365.18 and 4,199

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Solution

The fourth proportional to 7,511, 10,365.18 and 4,199 is: 5,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511 : 10,365.18 = 4,199 : x
  2. Step 2: Convert to fraction form
    7,511/10,365.18 = 4,199/x
  3. Step 3: Cross multiply
    7,511x = 10,365.18 × 4,199
  4. Step 4: Simplify right side
    7,511x = 43,523,390.82
  5. Step 5: Solve for x
    x = 43,523,390.82/7,511
  6. Step 6: Final answer
    x = 5,794.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.