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Finding the Fourth Proportional to 5,142.34, 7,714.19 and 1,855.00

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Solution

The fourth proportional to 5,142.34, 7,714.19 and 1,855.00 is: 2,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.34 : 7,714.19 = 1,855.00 : x
  2. Step 2: Convert to fraction form
    5,142.34/7,714.19 = 1,855.00/x
  3. Step 3: Cross multiply
    5,142.34x = 7,714.19 × 1,855.00
  4. Step 4: Simplify right side
    5,142.34x = 14,309,826.30
  5. Step 5: Solve for x
    x = 14,309,826.30/5,142.34
  6. Step 6: Final answer
    x = 2,782.75

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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.