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Finding the Fourth Proportional to 8,209.53, 12,319.29 and 3,015.81

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Solution

The fourth proportional to 8,209.53, 12,319.29 and 3,015.81 is: 4,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.53 : 12,319.29 = 3,015.81 : x
  2. Step 2: Convert to fraction form
    8,209.53/12,319.29 = 3,015.81/x
  3. Step 3: Cross multiply
    8,209.53x = 12,319.29 × 3,015.81
  4. Step 4: Simplify right side
    8,209.53x = 37,152,637.97
  5. Step 5: Solve for x
    x = 37,152,637.97/8,209.53
  6. Step 6: Final answer
    x = 4,525.55

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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.