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Finding the Fourth Proportional to 4,164.54, 5,740.38 and 2,819.72

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Solution

The fourth proportional to 4,164.54, 5,740.38 and 2,819.72 is: 3,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.54 : 5,740.38 = 2,819.72 : x
  2. Step 2: Convert to fraction form
    4,164.54/5,740.38 = 2,819.72/x
  3. Step 3: Cross multiply
    4,164.54x = 5,740.38 × 2,819.72
  4. Step 4: Simplify right side
    4,164.54x = 16,186,264.29
  5. Step 5: Solve for x
    x = 16,186,264.29/4,164.54
  6. Step 6: Final answer
    x = 3,886.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.