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Finding the Fourth Proportional to 6,369.75, 8,790 and 3,537.24

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Solution

The fourth proportional to 6,369.75, 8,790 and 3,537.24 is: 4,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.75 : 8,790 = 3,537.24 : x
  2. Step 2: Convert to fraction form
    6,369.75/8,790 = 3,537.24/x
  3. Step 3: Cross multiply
    6,369.75x = 8,790 × 3,537.24
  4. Step 4: Simplify right side
    6,369.75x = 31,092,339.60
  5. Step 5: Solve for x
    x = 31,092,339.60/6,369.75
  6. Step 6: Final answer
    x = 4,881.25

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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.