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Finding the Fourth Proportional to 8,702.88, 13,052.82 and 2,859.60

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Solution

The fourth proportional to 8,702.88, 13,052.82 and 2,859.60 is: 4,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.88 : 13,052.82 = 2,859.60 : x
  2. Step 2: Convert to fraction form
    8,702.88/13,052.82 = 2,859.60/x
  3. Step 3: Cross multiply
    8,702.88x = 13,052.82 × 2,859.60
  4. Step 4: Simplify right side
    8,702.88x = 37,325,844.07
  5. Step 5: Solve for x
    x = 37,325,844.07/8,702.88
  6. Step 6: Final answer
    x = 4,288.91

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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.