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Finding the Fourth Proportional to 17,297, 25,878.04 and 13,149

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Solution

The fourth proportional to 17,297, 25,878.04 and 13,149 is: 19,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,297 : 25,878.04 = 13,149 : x
  2. Step 2: Convert to fraction form
    17,297/25,878.04 = 13,149/x
  3. Step 3: Cross multiply
    17,297x = 25,878.04 × 13,149
  4. Step 4: Simplify right side
    17,297x = 340,270,347.96
  5. Step 5: Solve for x
    x = 340,270,347.96/17,297
  6. Step 6: Final answer
    x = 19,672.22

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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.