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Finding the Fourth Proportional to 17,730.78, 26,588 and 5,246.34

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Solution

The fourth proportional to 17,730.78, 26,588 and 5,246.34 is: 7,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.78 : 26,588 = 5,246.34 : x
  2. Step 2: Convert to fraction form
    17,730.78/26,588 = 5,246.34/x
  3. Step 3: Cross multiply
    17,730.78x = 26,588 × 5,246.34
  4. Step 4: Simplify right side
    17,730.78x = 139,489,687.92
  5. Step 5: Solve for x
    x = 139,489,687.92/17,730.78
  6. Step 6: Final answer
    x = 7,867.09

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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.