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Finding the Fourth Proportional to 5,719, 8,578.50 and 1,615

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Solution

The fourth proportional to 5,719, 8,578.50 and 1,615 is: 2,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719 : 8,578.50 = 1,615 : x
  2. Step 2: Convert to fraction form
    5,719/8,578.50 = 1,615/x
  3. Step 3: Cross multiply
    5,719x = 8,578.50 × 1,615
  4. Step 4: Simplify right side
    5,719x = 13,854,277.50
  5. Step 5: Solve for x
    x = 13,854,277.50/5,719
  6. Step 6: Final answer
    x = 2,422.50

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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.