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Finding the Fourth Proportional to 5,154.59, 7,731.49 and 1,644.45

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Solution

The fourth proportional to 5,154.59, 7,731.49 and 1,644.45 is: 2,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.59 : 7,731.49 = 1,644.45 : x
  2. Step 2: Convert to fraction form
    5,154.59/7,731.49 = 1,644.45/x
  3. Step 3: Cross multiply
    5,154.59x = 7,731.49 × 1,644.45
  4. Step 4: Simplify right side
    5,154.59x = 12,714,044.62
  5. Step 5: Solve for x
    x = 12,714,044.62/5,154.59
  6. Step 6: Final answer
    x = 2,466.55

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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.