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Finding the Fourth Proportional to 17,208.40, 25,814 and 7,347.88

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Solution

The fourth proportional to 17,208.40, 25,814 and 7,347.88 is: 11,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,208.40 : 25,814 = 7,347.88 : x
  2. Step 2: Convert to fraction form
    17,208.40/25,814 = 7,347.88/x
  3. Step 3: Cross multiply
    17,208.40x = 25,814 × 7,347.88
  4. Step 4: Simplify right side
    17,208.40x = 189,678,174.32
  5. Step 5: Solve for x
    x = 189,678,174.32/17,208.40
  6. Step 6: Final answer
    x = 11,022.42

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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.