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Finding the Fourth Proportional to 4,539, 6,808.38 and 1,252.08

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Solution

The fourth proportional to 4,539, 6,808.38 and 1,252.08 is: 1,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539 : 6,808.38 = 1,252.08 : x
  2. Step 2: Convert to fraction form
    4,539/6,808.38 = 1,252.08/x
  3. Step 3: Cross multiply
    4,539x = 6,808.38 × 1,252.08
  4. Step 4: Simplify right side
    4,539x = 8,524,636.43
  5. Step 5: Solve for x
    x = 8,524,636.43/4,539
  6. Step 6: Final answer
    x = 1,878.09

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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.