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Finding the Fourth Proportional to 1,353.77, 1,866.83 and 1,203.92

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Solution

The fourth proportional to 1,353.77, 1,866.83 and 1,203.92 is: 1,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.77 : 1,866.83 = 1,203.92 : x
  2. Step 2: Convert to fraction form
    1,353.77/1,866.83 = 1,203.92/x
  3. Step 3: Cross multiply
    1,353.77x = 1,866.83 × 1,203.92
  4. Step 4: Simplify right side
    1,353.77x = 2,247,498.62
  5. Step 5: Solve for x
    x = 2,247,498.62/1,353.77
  6. Step 6: Final answer
    x = 1,660.18

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1.5x scale

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.