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Finding the Fourth Proportional to 1,826.15, 2,740.28 and 771.88

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Solution

The fourth proportional to 1,826.15, 2,740.28 and 771.88 is: 1,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.15 : 2,740.28 = 771.88 : x
  2. Step 2: Convert to fraction form
    1,826.15/2,740.28 = 771.88/x
  3. Step 3: Cross multiply
    1,826.15x = 2,740.28 × 771.88
  4. Step 4: Simplify right side
    1,826.15x = 2,115,167.33
  5. Step 5: Solve for x
    x = 2,115,167.33/1,826.15
  6. Step 6: Final answer
    x = 1,158.27

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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.