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Finding the Fourth Proportional to 2,549.21, 3,823.94 and 905.18

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Solution

The fourth proportional to 2,549.21, 3,823.94 and 905.18 is: 1,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.21 : 3,823.94 = 905.18 : x
  2. Step 2: Convert to fraction form
    2,549.21/3,823.94 = 905.18/x
  3. Step 3: Cross multiply
    2,549.21x = 3,823.94 × 905.18
  4. Step 4: Simplify right side
    2,549.21x = 3,461,337.15
  5. Step 5: Solve for x
    x = 3,461,337.15/2,549.21
  6. Step 6: Final answer
    x = 1,357.81

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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.