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Finding the Fourth Proportional to 3,699.07, 5,103 and 2,521.73

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Solution

The fourth proportional to 3,699.07, 5,103 and 2,521.73 is: 3,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.07 : 5,103 = 2,521.73 : x
  2. Step 2: Convert to fraction form
    3,699.07/5,103 = 2,521.73/x
  3. Step 3: Cross multiply
    3,699.07x = 5,103 × 2,521.73
  4. Step 4: Simplify right side
    3,699.07x = 12,868,400.95
  5. Step 5: Solve for x
    x = 12,868,400.95/3,699.07
  6. Step 6: Final answer
    x = 3,478.82

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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.