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Finding the Fourth Proportional to 4,751.20, 7,121.76 and 1,828.24

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Solution

The fourth proportional to 4,751.20, 7,121.76 and 1,828.24 is: 2,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.20 : 7,121.76 = 1,828.24 : x
  2. Step 2: Convert to fraction form
    4,751.20/7,121.76 = 1,828.24/x
  3. Step 3: Cross multiply
    4,751.20x = 7,121.76 × 1,828.24
  4. Step 4: Simplify right side
    4,751.20x = 13,020,286.50
  5. Step 5: Solve for x
    x = 13,020,286.50/4,751.20
  6. Step 6: Final answer
    x = 2,740.42

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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.