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Finding the Fourth Proportional to 5,434, 7,498.92 and 2,950

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Solution

The fourth proportional to 5,434, 7,498.92 and 2,950 is: 4,071

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434 : 7,498.92 = 2,950 : x
  2. Step 2: Convert to fraction form
    5,434/7,498.92 = 2,950/x
  3. Step 3: Cross multiply
    5,434x = 7,498.92 × 2,950
  4. Step 4: Simplify right side
    5,434x = 22,121,814
  5. Step 5: Solve for x
    x = 22,121,814/5,434
  6. Step 6: Final answer
    x = 4,071

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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.