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Finding the Fourth Proportional to 4,689.57, 7,013.19 and 3,579.33

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Solution

The fourth proportional to 4,689.57, 7,013.19 and 3,579.33 is: 5,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.57 : 7,013.19 = 3,579.33 : x
  2. Step 2: Convert to fraction form
    4,689.57/7,013.19 = 3,579.33/x
  3. Step 3: Cross multiply
    4,689.57x = 7,013.19 × 3,579.33
  4. Step 4: Simplify right side
    4,689.57x = 25,102,521.36
  5. Step 5: Solve for x
    x = 25,102,521.36/4,689.57
  6. Step 6: Final answer
    x = 5,352.84

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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.