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Finding the Fourth Proportional to 5,284.54, 7,930.41 and 2,821.13

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Solution

The fourth proportional to 5,284.54, 7,930.41 and 2,821.13 is: 4,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.54 : 7,930.41 = 2,821.13 : x
  2. Step 2: Convert to fraction form
    5,284.54/7,930.41 = 2,821.13/x
  3. Step 3: Cross multiply
    5,284.54x = 7,930.41 × 2,821.13
  4. Step 4: Simplify right side
    5,284.54x = 22,372,697.07
  5. Step 5: Solve for x
    x = 22,372,697.07/5,284.54
  6. Step 6: Final answer
    x = 4,233.61

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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.