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Finding the Fourth Proportional to 5,811.51, 8,714.43 and 2,891.46

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Solution

The fourth proportional to 5,811.51, 8,714.43 and 2,891.46 is: 4,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.51 : 8,714.43 = 2,891.46 : x
  2. Step 2: Convert to fraction form
    5,811.51/8,714.43 = 2,891.46/x
  3. Step 3: Cross multiply
    5,811.51x = 8,714.43 × 2,891.46
  4. Step 4: Simplify right side
    5,811.51x = 25,197,425.77
  5. Step 5: Solve for x
    x = 25,197,425.77/5,811.51
  6. Step 6: Final answer
    x = 4,335.78

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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.