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Finding the Fourth Proportional to 5,821.68, 8,035.08 and 3,807.76

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Solution

The fourth proportional to 5,821.68, 8,035.08 and 3,807.76 is: 5,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.68 : 8,035.08 = 3,807.76 : x
  2. Step 2: Convert to fraction form
    5,821.68/8,035.08 = 3,807.76/x
  3. Step 3: Cross multiply
    5,821.68x = 8,035.08 × 3,807.76
  4. Step 4: Simplify right side
    5,821.68x = 30,595,656.22
  5. Step 5: Solve for x
    x = 30,595,656.22/5,821.68
  6. Step 6: Final answer
    x = 5,255.47

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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.