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Finding the Fourth Proportional to 8,750, 13,120.68 and 3,202.58

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Solution

The fourth proportional to 8,750, 13,120.68 and 3,202.58 is: 4,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,750 : 13,120.68 = 3,202.58 : x
  2. Step 2: Convert to fraction form
    8,750/13,120.68 = 3,202.58/x
  3. Step 3: Cross multiply
    8,750x = 13,120.68 × 3,202.58
  4. Step 4: Simplify right side
    8,750x = 42,020,027.35
  5. Step 5: Solve for x
    x = 42,020,027.35/8,750
  6. Step 6: Final answer
    x = 4,802.29

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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.