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Finding the Fourth Proportional to 3,610.99, 5,414.64 and 1,661.50

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Solution

The fourth proportional to 3,610.99, 5,414.64 and 1,661.50 is: 2,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.99 : 5,414.64 = 1,661.50 : x
  2. Step 2: Convert to fraction form
    3,610.99/5,414.64 = 1,661.50/x
  3. Step 3: Cross multiply
    3,610.99x = 5,414.64 × 1,661.50
  4. Step 4: Simplify right side
    3,610.99x = 8,996,424.36
  5. Step 5: Solve for x
    x = 8,996,424.36/3,610.99
  6. Step 6: Final answer
    x = 2,491.40

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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.