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Finding the Fourth Proportional to 8,506.74, 12,763.03 and 3,830.03

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Solution

The fourth proportional to 8,506.74, 12,763.03 and 3,830.03 is: 5,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.74 : 12,763.03 = 3,830.03 : x
  2. Step 2: Convert to fraction form
    8,506.74/12,763.03 = 3,830.03/x
  3. Step 3: Cross multiply
    8,506.74x = 12,763.03 × 3,830.03
  4. Step 4: Simplify right side
    8,506.74x = 48,882,704.83
  5. Step 5: Solve for x
    x = 48,882,704.83/8,506.74
  6. Step 6: Final answer
    x = 5,746.35

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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.