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Finding the Fourth Proportional to 8,702.43, 13,053.23 and 2,859.09

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Solution

The fourth proportional to 8,702.43, 13,053.23 and 2,859.09 is: 4,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.43 : 13,053.23 = 2,859.09 : x
  2. Step 2: Convert to fraction form
    8,702.43/13,053.23 = 2,859.09/x
  3. Step 3: Cross multiply
    8,702.43x = 13,053.23 × 2,859.09
  4. Step 4: Simplify right side
    8,702.43x = 37,320,359.36
  5. Step 5: Solve for x
    x = 37,320,359.36/8,702.43
  6. Step 6: Final answer
    x = 4,288.50

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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.