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Finding the Fourth Proportional to 8,782.61, 13,170.61 and 2,857.94

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Solution

The fourth proportional to 8,782.61, 13,170.61 and 2,857.94 is: 4,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.61 : 13,170.61 = 2,857.94 : x
  2. Step 2: Convert to fraction form
    8,782.61/13,170.61 = 2,857.94/x
  3. Step 3: Cross multiply
    8,782.61x = 13,170.61 × 2,857.94
  4. Step 4: Simplify right side
    8,782.61x = 37,640,829.26
  5. Step 5: Solve for x
    x = 37,640,829.26/8,782.61
  6. Step 6: Final answer
    x = 4,285.84

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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.