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Finding the Fourth Proportional to 2,406, 3,320.96 and 1,610.85

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Solution

The fourth proportional to 2,406, 3,320.96 and 1,610.85 is: 2,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406 : 3,320.96 = 1,610.85 : x
  2. Step 2: Convert to fraction form
    2,406/3,320.96 = 1,610.85/x
  3. Step 3: Cross multiply
    2,406x = 3,320.96 × 1,610.85
  4. Step 4: Simplify right side
    2,406x = 5,349,560.36
  5. Step 5: Solve for x
    x = 5,349,560.36/2,406
  6. Step 6: Final answer
    x = 2,223.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.