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Finding the Fourth Proportional to 2,548.06, 3,822.74 and 816.68

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Solution

The fourth proportional to 2,548.06, 3,822.74 and 816.68 is: 1,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.06 : 3,822.74 = 816.68 : x
  2. Step 2: Convert to fraction form
    2,548.06/3,822.74 = 816.68/x
  3. Step 3: Cross multiply
    2,548.06x = 3,822.74 × 816.68
  4. Step 4: Simplify right side
    2,548.06x = 3,121,955.30
  5. Step 5: Solve for x
    x = 3,121,955.30/2,548.06
  6. Step 6: Final answer
    x = 1,225.23

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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.