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Finding the Fourth Proportional to 8,629.83, 12,942 and 2,785.08

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Solution

The fourth proportional to 8,629.83, 12,942 and 2,785.08 is: 4,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.83 : 12,942 = 2,785.08 : x
  2. Step 2: Convert to fraction form
    8,629.83/12,942 = 2,785.08/x
  3. Step 3: Cross multiply
    8,629.83x = 12,942 × 2,785.08
  4. Step 4: Simplify right side
    8,629.83x = 36,044,505.36
  5. Step 5: Solve for x
    x = 36,044,505.36/8,629.83
  6. Step 6: Final answer
    x = 4,176.73

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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.