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Finding the Fourth Proportional to 4,728.50, 7,092.78 and 1,650.50

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Solution

The fourth proportional to 4,728.50, 7,092.78 and 1,650.50 is: 2,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.50 : 7,092.78 = 1,650.50 : x
  2. Step 2: Convert to fraction form
    4,728.50/7,092.78 = 1,650.50/x
  3. Step 3: Cross multiply
    4,728.50x = 7,092.78 × 1,650.50
  4. Step 4: Simplify right side
    4,728.50x = 11,706,633.39
  5. Step 5: Solve for x
    x = 11,706,633.39/4,728.50
  6. Step 6: Final answer
    x = 2,475.76

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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.