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Finding the Fourth Proportional to 5,154.84, 7,732.81 and 1,644.02

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Solution

The fourth proportional to 5,154.84, 7,732.81 and 1,644.02 is: 2,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.84 : 7,732.81 = 1,644.02 : x
  2. Step 2: Convert to fraction form
    5,154.84/7,732.81 = 1,644.02/x
  3. Step 3: Cross multiply
    5,154.84x = 7,732.81 × 1,644.02
  4. Step 4: Simplify right side
    5,154.84x = 12,712,855.63
  5. Step 5: Solve for x
    x = 12,712,855.63/5,154.84
  6. Step 6: Final answer
    x = 2,466.20

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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.