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Finding the Fourth Proportional to 1,810.11, 2,714.82 and 713.91

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Solution

The fourth proportional to 1,810.11, 2,714.82 and 713.91 is: 1,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.11 : 2,714.82 = 713.91 : x
  2. Step 2: Convert to fraction form
    1,810.11/2,714.82 = 713.91/x
  3. Step 3: Cross multiply
    1,810.11x = 2,714.82 × 713.91
  4. Step 4: Simplify right side
    1,810.11x = 1,938,137.15
  5. Step 5: Solve for x
    x = 1,938,137.15/1,810.11
  6. Step 6: Final answer
    x = 1,070.73

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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.