Home / 2,146.02-3,219.36-829.74

Finding the Fourth Proportional to 2,146.02, 3,219.36 and 829.74

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Solution

The fourth proportional to 2,146.02, 3,219.36 and 829.74 is: 1,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.02 : 3,219.36 = 829.74 : x
  2. Step 2: Convert to fraction form
    2,146.02/3,219.36 = 829.74/x
  3. Step 3: Cross multiply
    2,146.02x = 3,219.36 × 829.74
  4. Step 4: Simplify right side
    2,146.02x = 2,671,231.77
  5. Step 5: Solve for x
    x = 2,671,231.77/2,146.02
  6. Step 6: Final answer
    x = 1,244.74

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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.