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Finding the Fourth Proportional to 1,808.85, 2,714.51 and 835.03

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Solution

The fourth proportional to 1,808.85, 2,714.51 and 835.03 is: 1,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.85 : 2,714.51 = 835.03 : x
  2. Step 2: Convert to fraction form
    1,808.85/2,714.51 = 835.03/x
  3. Step 3: Cross multiply
    1,808.85x = 2,714.51 × 835.03
  4. Step 4: Simplify right side
    1,808.85x = 2,266,697.29
  5. Step 5: Solve for x
    x = 2,266,697.29/1,808.85
  6. Step 6: Final answer
    x = 1,253.12

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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.