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Finding the Fourth Proportional to 17,018.48, 25,521.24 and 7,778

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Solution

The fourth proportional to 17,018.48, 25,521.24 and 7,778 is: 11,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,018.48 : 25,521.24 = 7,778 : x
  2. Step 2: Convert to fraction form
    17,018.48/25,521.24 = 7,778/x
  3. Step 3: Cross multiply
    17,018.48x = 25,521.24 × 7,778
  4. Step 4: Simplify right side
    17,018.48x = 198,504,204.72
  5. Step 5: Solve for x
    x = 198,504,204.72/17,018.48
  6. Step 6: Final answer
    x = 11,664.04

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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.