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Finding the Fourth Proportional to 17,679.36, 26,519 and 6,585.80

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Solution

The fourth proportional to 17,679.36, 26,519 and 6,585.80 is: 9,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,679.36 : 26,519 = 6,585.80 : x
  2. Step 2: Convert to fraction form
    17,679.36/26,519 = 6,585.80/x
  3. Step 3: Cross multiply
    17,679.36x = 26,519 × 6,585.80
  4. Step 4: Simplify right side
    17,679.36x = 174,648,830.20
  5. Step 5: Solve for x
    x = 174,648,830.20/17,679.36
  6. Step 6: Final answer
    x = 9,878.69

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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.