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Finding the Fourth Proportional to 7,689.31, 11,525 and 3,529.75

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Solution

The fourth proportional to 7,689.31, 11,525 and 3,529.75 is: 5,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.31 : 11,525 = 3,529.75 : x
  2. Step 2: Convert to fraction form
    7,689.31/11,525 = 3,529.75/x
  3. Step 3: Cross multiply
    7,689.31x = 11,525 × 3,529.75
  4. Step 4: Simplify right side
    7,689.31x = 40,680,368.75
  5. Step 5: Solve for x
    x = 40,680,368.75/7,689.31
  6. Step 6: Final answer
    x = 5,290.51

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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.