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Finding the Fourth Proportional to 8,657.97, 12,985.09 and 2,735.32

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Solution

The fourth proportional to 8,657.97, 12,985.09 and 2,735.32 is: 4,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.97 : 12,985.09 = 2,735.32 : x
  2. Step 2: Convert to fraction form
    8,657.97/12,985.09 = 2,735.32/x
  3. Step 3: Cross multiply
    8,657.97x = 12,985.09 × 2,735.32
  4. Step 4: Simplify right side
    8,657.97x = 35,518,337.08
  5. Step 5: Solve for x
    x = 35,518,337.08/8,657.97
  6. Step 6: Final answer
    x = 4,102.39

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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.