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Finding the Fourth Proportional to 3,158.54, 4,737.25 and 849.50

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Solution

The fourth proportional to 3,158.54, 4,737.25 and 849.50 is: 1,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.54 : 4,737.25 = 849.50 : x
  2. Step 2: Convert to fraction form
    3,158.54/4,737.25 = 849.50/x
  3. Step 3: Cross multiply
    3,158.54x = 4,737.25 × 849.50
  4. Step 4: Simplify right side
    3,158.54x = 4,024,293.88
  5. Step 5: Solve for x
    x = 4,024,293.88/3,158.54
  6. Step 6: Final answer
    x = 1,274.10

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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.