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Finding the Fourth Proportional to 3,800.90, 5,700.78 and 1,203.50

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Solution

The fourth proportional to 3,800.90, 5,700.78 and 1,203.50 is: 1,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.90 : 5,700.78 = 1,203.50 : x
  2. Step 2: Convert to fraction form
    3,800.90/5,700.78 = 1,203.50/x
  3. Step 3: Cross multiply
    3,800.90x = 5,700.78 × 1,203.50
  4. Step 4: Simplify right side
    3,800.90x = 6,860,888.73
  5. Step 5: Solve for x
    x = 6,860,888.73/3,800.90
  6. Step 6: Final answer
    x = 1,805.07

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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.