Home / 1,577.02-2,181-1,380.20

Finding the Fourth Proportional to 1,577.02, 2,181 and 1,380.20

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Solution

The fourth proportional to 1,577.02, 2,181 and 1,380.20 is: 1,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.02 : 2,181 = 1,380.20 : x
  2. Step 2: Convert to fraction form
    1,577.02/2,181 = 1,380.20/x
  3. Step 3: Cross multiply
    1,577.02x = 2,181 × 1,380.20
  4. Step 4: Simplify right side
    1,577.02x = 3,010,216.20
  5. Step 5: Solve for x
    x = 3,010,216.20/1,577.02
  6. Step 6: Final answer
    x = 1,908.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.