Home / 2,772.64-3,826.11-1,577.53

Finding the Fourth Proportional to 2,772.64, 3,826.11 and 1,577.53

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Solution

The fourth proportional to 2,772.64, 3,826.11 and 1,577.53 is: 2,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.64 : 3,826.11 = 1,577.53 : x
  2. Step 2: Convert to fraction form
    2,772.64/3,826.11 = 1,577.53/x
  3. Step 3: Cross multiply
    2,772.64x = 3,826.11 × 1,577.53
  4. Step 4: Simplify right side
    2,772.64x = 6,035,803.31
  5. Step 5: Solve for x
    x = 6,035,803.31/2,772.64
  6. Step 6: Final answer
    x = 2,176.92

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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.