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Finding the Fourth Proportional to 10,615, 15,922.50 and 5,998.36

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Solution

The fourth proportional to 10,615, 15,922.50 and 5,998.36 is: 8,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615 : 15,922.50 = 5,998.36 : x
  2. Step 2: Convert to fraction form
    10,615/15,922.50 = 5,998.36/x
  3. Step 3: Cross multiply
    10,615x = 15,922.50 × 5,998.36
  4. Step 4: Simplify right side
    10,615x = 95,508,887.10
  5. Step 5: Solve for x
    x = 95,508,887.10/10,615
  6. Step 6: Final answer
    x = 8,997.54

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.