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Finding the Fourth Proportional to 3,154.54, 4,731.27 and 845.50

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Solution

The fourth proportional to 3,154.54, 4,731.27 and 845.50 is: 1,268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.54 : 4,731.27 = 845.50 : x
  2. Step 2: Convert to fraction form
    3,154.54/4,731.27 = 845.50/x
  3. Step 3: Cross multiply
    3,154.54x = 4,731.27 × 845.50
  4. Step 4: Simplify right side
    3,154.54x = 4,000,288.79
  5. Step 5: Solve for x
    x = 4,000,288.79/3,154.54
  6. Step 6: Final answer
    x = 1,268.11

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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.