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Finding the Fourth Proportional to 3,800.21, 5,699.87 and 1,026.71

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Solution

The fourth proportional to 3,800.21, 5,699.87 and 1,026.71 is: 1,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.21 : 5,699.87 = 1,026.71 : x
  2. Step 2: Convert to fraction form
    3,800.21/5,699.87 = 1,026.71/x
  3. Step 3: Cross multiply
    3,800.21x = 5,699.87 × 1,026.71
  4. Step 4: Simplify right side
    3,800.21x = 5,852,130.34
  5. Step 5: Solve for x
    x = 5,852,130.34/3,800.21
  6. Step 6: Final answer
    x = 1,539.95

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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.