Home / 1,536.80-2,305.20-1,020.14

Finding the Fourth Proportional to 1,536.80, 2,305.20 and 1,020.14

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Solution

The fourth proportional to 1,536.80, 2,305.20 and 1,020.14 is: 1,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.80 : 2,305.20 = 1,020.14 : x
  2. Step 2: Convert to fraction form
    1,536.80/2,305.20 = 1,020.14/x
  3. Step 3: Cross multiply
    1,536.80x = 2,305.20 × 1,020.14
  4. Step 4: Simplify right side
    1,536.80x = 2,351,626.73
  5. Step 5: Solve for x
    x = 2,351,626.73/1,536.80
  6. Step 6: Final answer
    x = 1,530.21

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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.