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Finding the Fourth Proportional to 5,807.80, 8,020.62 and 3,819.80

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Solution

The fourth proportional to 5,807.80, 8,020.62 and 3,819.80 is: 5,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.80 : 8,020.62 = 3,819.80 : x
  2. Step 2: Convert to fraction form
    5,807.80/8,020.62 = 3,819.80/x
  3. Step 3: Cross multiply
    5,807.80x = 8,020.62 × 3,819.80
  4. Step 4: Simplify right side
    5,807.80x = 30,637,164.28
  5. Step 5: Solve for x
    x = 30,637,164.28/5,807.80
  6. Step 6: Final answer
    x = 5,275.18

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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.