Home / 2,615-3,923.40-1,461.56

Finding the Fourth Proportional to 2,615, 3,923.40 and 1,461.56

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Solution

The fourth proportional to 2,615, 3,923.40 and 1,461.56 is: 2,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615 : 3,923.40 = 1,461.56 : x
  2. Step 2: Convert to fraction form
    2,615/3,923.40 = 1,461.56/x
  3. Step 3: Cross multiply
    2,615x = 3,923.40 × 1,461.56
  4. Step 4: Simplify right side
    2,615x = 5,734,284.50
  5. Step 5: Solve for x
    x = 5,734,284.50/2,615
  6. Step 6: Final answer
    x = 2,192.84

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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.