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Finding the Fourth Proportional to 5,006.19, 7,509.29 and 1,719.26

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Solution

The fourth proportional to 5,006.19, 7,509.29 and 1,719.26 is: 2,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.19 : 7,509.29 = 1,719.26 : x
  2. Step 2: Convert to fraction form
    5,006.19/7,509.29 = 1,719.26/x
  3. Step 3: Cross multiply
    5,006.19x = 7,509.29 × 1,719.26
  4. Step 4: Simplify right side
    5,006.19x = 12,910,375.78
  5. Step 5: Solve for x
    x = 12,910,375.78/5,006.19
  6. Step 6: Final answer
    x = 2,578.88

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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.