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Finding the Fourth Proportional to 8,361.10, 12,530.67 and 4,205.80

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Solution

The fourth proportional to 8,361.10, 12,530.67 and 4,205.80 is: 6,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.10 : 12,530.67 = 4,205.80 : x
  2. Step 2: Convert to fraction form
    8,361.10/12,530.67 = 4,205.80/x
  3. Step 3: Cross multiply
    8,361.10x = 12,530.67 × 4,205.80
  4. Step 4: Simplify right side
    8,361.10x = 52,701,491.89
  5. Step 5: Solve for x
    x = 52,701,491.89/8,361.10
  6. Step 6: Final answer
    x = 6,303.18

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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.