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Finding the Fourth Proportional to 2,826.76, 3,900.66 and 2,238.76

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Solution

The fourth proportional to 2,826.76, 3,900.66 and 2,238.76 is: 3,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.76 : 3,900.66 = 2,238.76 : x
  2. Step 2: Convert to fraction form
    2,826.76/3,900.66 = 2,238.76/x
  3. Step 3: Cross multiply
    2,826.76x = 3,900.66 × 2,238.76
  4. Step 4: Simplify right side
    2,826.76x = 8,732,641.58
  5. Step 5: Solve for x
    x = 8,732,641.58/2,826.76
  6. Step 6: Final answer
    x = 3,089.28

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1.5x scale

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.