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Finding the Fourth Proportional to 3,800.08, 5,700.48 and 1,203.40

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Solution

The fourth proportional to 3,800.08, 5,700.48 and 1,203.40 is: 1,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.08 : 5,700.48 = 1,203.40 : x
  2. Step 2: Convert to fraction form
    3,800.08/5,700.48 = 1,203.40/x
  3. Step 3: Cross multiply
    3,800.08x = 5,700.48 × 1,203.40
  4. Step 4: Simplify right side
    3,800.08x = 6,859,957.63
  5. Step 5: Solve for x
    x = 6,859,957.63/3,800.08
  6. Step 6: Final answer
    x = 1,805.21

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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.