Home / 1,206.16-1,660.62-1,027.96

Finding the Fourth Proportional to 1,206.16, 1,660.62 and 1,027.96

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Solution

The fourth proportional to 1,206.16, 1,660.62 and 1,027.96 is: 1,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.16 : 1,660.62 = 1,027.96 : x
  2. Step 2: Convert to fraction form
    1,206.16/1,660.62 = 1,027.96/x
  3. Step 3: Cross multiply
    1,206.16x = 1,660.62 × 1,027.96
  4. Step 4: Simplify right side
    1,206.16x = 1,707,050.94
  5. Step 5: Solve for x
    x = 1,707,050.94/1,206.16
  6. Step 6: Final answer
    x = 1,415.28

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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.