Home / 2,146.02-3,218.49-829.35

Finding the Fourth Proportional to 2,146.02, 3,218.49 and 829.35

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Solution

The fourth proportional to 2,146.02, 3,218.49 and 829.35 is: 1,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.02 : 3,218.49 = 829.35 : x
  2. Step 2: Convert to fraction form
    2,146.02/3,218.49 = 829.35/x
  3. Step 3: Cross multiply
    2,146.02x = 3,218.49 × 829.35
  4. Step 4: Simplify right side
    2,146.02x = 2,669,254.68
  5. Step 5: Solve for x
    x = 2,669,254.68/2,146.02
  6. Step 6: Final answer
    x = 1,243.82

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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.