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Finding the Fourth Proportional to 2,028.16, 3,041.10 and 641.24

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Solution

The fourth proportional to 2,028.16, 3,041.10 and 641.24 is: 961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.16 : 3,041.10 = 641.24 : x
  2. Step 2: Convert to fraction form
    2,028.16/3,041.10 = 641.24/x
  3. Step 3: Cross multiply
    2,028.16x = 3,041.10 × 641.24
  4. Step 4: Simplify right side
    2,028.16x = 1,950,074.96
  5. Step 5: Solve for x
    x = 1,950,074.96/2,028.16
  6. Step 6: Final answer
    x = 961.50

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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.