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Finding the Fourth Proportional to 2,420.08, 3,629.69 and 641.16

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Solution

The fourth proportional to 2,420.08, 3,629.69 and 641.16 is: 961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.08 : 3,629.69 = 641.16 : x
  2. Step 2: Convert to fraction form
    2,420.08/3,629.69 = 641.16/x
  3. Step 3: Cross multiply
    2,420.08x = 3,629.69 × 641.16
  4. Step 4: Simplify right side
    2,420.08x = 2,327,193.89
  5. Step 5: Solve for x
    x = 2,327,193.89/2,420.08
  6. Step 6: Final answer
    x = 961.62

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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.