Home / 2,772.16-3,826.40-1,778

Finding the Fourth Proportional to 2,772.16, 3,826.40 and 1,778

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Solution

The fourth proportional to 2,772.16, 3,826.40 and 1,778 is: 2,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.16 : 3,826.40 = 1,778 : x
  2. Step 2: Convert to fraction form
    2,772.16/3,826.40 = 1,778/x
  3. Step 3: Cross multiply
    2,772.16x = 3,826.40 × 1,778
  4. Step 4: Simplify right side
    2,772.16x = 6,803,339.20
  5. Step 5: Solve for x
    x = 6,803,339.20/2,772.16
  6. Step 6: Final answer
    x = 2,454.17

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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.