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Finding the Fourth Proportional to 3,665.57, 5,498.53 and 1,200.40

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Solution

The fourth proportional to 3,665.57, 5,498.53 and 1,200.40 is: 1,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.57 : 5,498.53 = 1,200.40 : x
  2. Step 2: Convert to fraction form
    3,665.57/5,498.53 = 1,200.40/x
  3. Step 3: Cross multiply
    3,665.57x = 5,498.53 × 1,200.40
  4. Step 4: Simplify right side
    3,665.57x = 6,600,418.66
  5. Step 5: Solve for x
    x = 6,600,418.66/3,665.57
  6. Step 6: Final answer
    x = 1,800.66

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1.5x scale

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.