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Finding the Fourth Proportional to 5,145.84, 7,731.06 and 3,300.55

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Solution

The fourth proportional to 5,145.84, 7,731.06 and 3,300.55 is: 4,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.84 : 7,731.06 = 3,300.55 : x
  2. Step 2: Convert to fraction form
    5,145.84/7,731.06 = 3,300.55/x
  3. Step 3: Cross multiply
    5,145.84x = 7,731.06 × 3,300.55
  4. Step 4: Simplify right side
    5,145.84x = 25,516,750.08
  5. Step 5: Solve for x
    x = 25,516,750.08/5,145.84
  6. Step 6: Final answer
    x = 4,958.71

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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.