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Finding the Fourth Proportional to 7,403, 10,216.26 and 4,091

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Solution

The fourth proportional to 7,403, 10,216.26 and 4,091 is: 5,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403 : 10,216.26 = 4,091 : x
  2. Step 2: Convert to fraction form
    7,403/10,216.26 = 4,091/x
  3. Step 3: Cross multiply
    7,403x = 10,216.26 × 4,091
  4. Step 4: Simplify right side
    7,403x = 41,794,719.66
  5. Step 5: Solve for x
    x = 41,794,719.66/7,403
  6. Step 6: Final answer
    x = 5,645.65

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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.