Home / 2,646.02-3,970.84-1,414.02

Finding the Fourth Proportional to 2,646.02, 3,970.84 and 1,414.02

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Solution

The fourth proportional to 2,646.02, 3,970.84 and 1,414.02 is: 2,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.02 : 3,970.84 = 1,414.02 : x
  2. Step 2: Convert to fraction form
    2,646.02/3,970.84 = 1,414.02/x
  3. Step 3: Cross multiply
    2,646.02x = 3,970.84 × 1,414.02
  4. Step 4: Simplify right side
    2,646.02x = 5,614,847.18
  5. Step 5: Solve for x
    x = 5,614,847.18/2,646.02
  6. Step 6: Final answer
    x = 2,122.00

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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.