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Finding the Fourth Proportional to 17,129.76, 25,703.01 and 7,775.88

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Solution

The fourth proportional to 17,129.76, 25,703.01 and 7,775.88 is: 11,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.76 : 25,703.01 = 7,775.88 : x
  2. Step 2: Convert to fraction form
    17,129.76/25,703.01 = 7,775.88/x
  3. Step 3: Cross multiply
    17,129.76x = 25,703.01 × 7,775.88
  4. Step 4: Simplify right side
    17,129.76x = 199,863,521.40
  5. Step 5: Solve for x
    x = 199,863,521.40/17,129.76
  6. Step 6: Final answer
    x = 11,667.62

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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.