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Finding the Fourth Proportional to 5,145.66, 7,714.17 and 2,069.82

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Solution

The fourth proportional to 5,145.66, 7,714.17 and 2,069.82 is: 3,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.66 : 7,714.17 = 2,069.82 : x
  2. Step 2: Convert to fraction form
    5,145.66/7,714.17 = 2,069.82/x
  3. Step 3: Cross multiply
    5,145.66x = 7,714.17 × 2,069.82
  4. Step 4: Simplify right side
    5,145.66x = 15,966,943.35
  5. Step 5: Solve for x
    x = 15,966,943.35/5,145.66
  6. Step 6: Final answer
    x = 3,102.99

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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.