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Finding the Fourth Proportional to 17,272.04, 25,878.90 and 13,802

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Solution

The fourth proportional to 17,272.04, 25,878.90 and 13,802 is: 20,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,272.04 : 25,878.90 = 13,802 : x
  2. Step 2: Convert to fraction form
    17,272.04/25,878.90 = 13,802/x
  3. Step 3: Cross multiply
    17,272.04x = 25,878.90 × 13,802
  4. Step 4: Simplify right side
    17,272.04x = 357,180,577.80
  5. Step 5: Solve for x
    x = 357,180,577.80/17,272.04
  6. Step 6: Final answer
    x = 20,679.70

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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.