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Finding the Fourth Proportional to 4,750.50, 7,125.92 and 1,630.79

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Solution

The fourth proportional to 4,750.50, 7,125.92 and 1,630.79 is: 2,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.50 : 7,125.92 = 1,630.79 : x
  2. Step 2: Convert to fraction form
    4,750.50/7,125.92 = 1,630.79/x
  3. Step 3: Cross multiply
    4,750.50x = 7,125.92 × 1,630.79
  4. Step 4: Simplify right side
    4,750.50x = 11,620,879.08
  5. Step 5: Solve for x
    x = 11,620,879.08/4,750.50
  6. Step 6: Final answer
    x = 2,446.24

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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.