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Finding the Fourth Proportional to 8,735.85, 13,083.42 and 6,390

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Solution

The fourth proportional to 8,735.85, 13,083.42 and 6,390 is: 9,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.85 : 13,083.42 = 6,390 : x
  2. Step 2: Convert to fraction form
    8,735.85/13,083.42 = 6,390/x
  3. Step 3: Cross multiply
    8,735.85x = 13,083.42 × 6,390
  4. Step 4: Simplify right side
    8,735.85x = 83,603,053.80
  5. Step 5: Solve for x
    x = 83,603,053.80/8,735.85
  6. Step 6: Final answer
    x = 9,570.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.