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Finding the Fourth Proportional to 3,024.80, 4,537.23 and 833.65

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Solution

The fourth proportional to 3,024.80, 4,537.23 and 833.65 is: 1,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.80 : 4,537.23 = 833.65 : x
  2. Step 2: Convert to fraction form
    3,024.80/4,537.23 = 833.65/x
  3. Step 3: Cross multiply
    3,024.80x = 4,537.23 × 833.65
  4. Step 4: Simplify right side
    3,024.80x = 3,782,450.45
  5. Step 5: Solve for x
    x = 3,782,450.45/3,024.80
  6. Step 6: Final answer
    x = 1,250.48

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1.5x scale

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.